Everyone means well but our replies don't always come out nicely. This is a subject I feel strongly about so this will be long! But, if you really care, I urge you to read it all!
Something you need to understand is that breeding birds is nothing like breeding dogs.... you can't put two birds together and expect offspring, let alone for the two birds to get along. Even in breeding dogs its best to ensure that both parents are healthy in all respects. Not only that but breeding two different SPECIES (an umbrella and a moluccan cockatoo) of birds is NOTHING like breeding two different BREEDS of dogs (i.e. a german shepherd and a labrador). Breeding two different species of birds is like breeding a lion and a tiger together. There's a big difference between breeds and species.
Discluding cockatiels I do not own any cockatoos... however, from the reading that I have done, males can become so aggressive that they could possibly kill their mate. Therefore, you would most likely no longer have them as pets. There IS a market for hybrids, although not necessarily for cockatoos. However, at the rate we are destroying the earth, we should really try to preserve each species.
IMO, if you honestly want to handraise a baby, buy an unweaned baby from a breeder! Be sure you are prepaired for handfeeding and all the issues that come along with it. I've heard of a few horror stories from inexperienced people trying to raise young chicks... likewise, even well experienced breeders have problems with chicks.
I don't really recommend for people to breed their pets, considering the amount of unwanted pets already out there... and of course the amount of rescues out there, many of which usually don't last more than 5-10 years due to the overwhelming amount of birds needing homes and all the tests needed in order to ensure all the birds are healthy. Truth be told, it seems to me that we have the most amount of rescues of any type in the United States than anywhere else in the world... and what does that tell you?
However, it's really non of our business as to what you do with your pets... so long as you are not abusing or neglecting them. Therefore, if you so wished, go right on ahead! But think seriously first, about the amount of animals out there already in need of homes... if one is filled up with breeder pets then that leaves less room for shelter or rehomed pets.
As for your questions.... well conures can breed at 2 years or younger, however a responsible person should not allow their conures to breed until they are at least 3-4 years old (to ensure the hen is mature in all ways possible, both mentally and physically).
Aratinga conures are also quite known for talking.... although my 17+ year old cherry headed conure doesn't say a word, and my 13 year old mitred conure has a small vocabulary.
As for getting birds friends... well let me share with you my experiences... I currently have 6 cockatiels (1 male, 5 girls), 5 budgies (1 male, 4 girls), 1 bourke (female), and two unsexed conures (mitred thought to be male, cherry head thought to be female). Out of all these birds, I only bought two (both budgies). One was a gift (one of the tiels). The rest of the birds (11) are rehomes. I can tell you that at least 9 of those 11 birds came from bad situations.
The budgies, bourke, and five of the cockatiels are cage-free in an 11' x 14' room. One of the cockatiels is the offspring of the pair. Another one of the cockatiels is very introverted and seems to prefer being alone. She has not bonded with any of the other birds here. All the budgies do fine together without any major issues, but this one tiel doesn't really accept any of the other birds.
I got the mitred in hopes that he may get along with my cherry head (although before I met him, I was told he was a cherry head as well). Of course, I didn't EXPECT them to get along, therefore I haven't really been dissapointed. These two conures are complete opposites literally. They do not get along, and considering that one may very well have brain damage, is quite the special needs type of bird and easily gets upset (therefore mutilates). These two conures cannot share a room during the day. The mitred also has the tendency to upset the other birds therefore he must be caged in a room by himself (well, my bedroom, so he's not really alone during most of the day).
Generally speaking conures tend to get along well with at least one other conure, but proof enough is out there that they dont always get along together. My cherry headed conure is actually bonded to Casey, one of the tiels... however, Casey tends to try and befriend everybody if possible... she's just a sweet bird like that! She's very caring of the others! Of course, I am NOT recommending you go out and get a cockatiel to go with the conure, as chances are, the two may not get along and the conure could seriously injure the cockatiel.
Now I do want to ask a question, just how many birds do you all own?
I own a total of 14, currently.
Do you breed any of them or have you bred any of them to sell?
I once tried breeding.... and that was before I realized the amount of pet birds already on the market and how many need homes due to neglect. It's the reason why I haven't really bought any birds in several years now.... If there were not so many birds on the market, and if they were valued more than just an object, then I'd probably have a lot less birds than I do now!
And for all the birds that I did set up to breed (3+ pairs), I only ever got 2 offspring from one pair, and I never did sell them (although I no longer have either one now).
To whichever posted that they have a pair of Conure's, Why a Pair?? Do they mate? Have they ever mated? Do you discard the eggs?
I don't have a pair of conures (so to speak), however I do have a pair of cockatiels (bred before I got them), and a very flirtatious male budgie who has a mate. However, I do not encourage any of the birds here to breed. Of the birds here, I've only gotten egg from 3 of them. Eggs from two of the hens were definitely infertile, and one egg from one of the other hens cracked so I'd never know anyway.
Now, I'd like to share something else with you.... I know of a family that had two whiteface cockatiels. They moved to another home and were given a second pair of normal cockatiels. The hen from the second pair laid an egg so they gave them a shoebox and COLORED paper ads (for grocery stores) for nesting material. After that clutch they were given a budgie/parakeet nestbox. Thankfully, none of the eggs were fertile or they broke before being able to develop. Well, the hen from the first pair died (I suspect either dehydration or starvation) so I was given the male.
He was a gorgeous male that I ended up keeping for only 6 months because he did not fit into my flock back then
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The next year, the male from the second pair died, and they decided to keep the hen (although they considered giving her to me). The part that disgusts me about this is that they claim the male died due to mice (mice don't attack or eat birds, therefore he most likely died from starvation or dehydration, among who knows what else). The male was dead in the cage for several hours, and it was a friend of one of the kids who noticed he died. I had to go over to that house, get a plastic bag, and remove his poor body from the cage because no one who was currently there would dare do it themselves.
Here's images of the normal pair and their cage (quite disgusting if you ask me) before the male died
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And most recently, over a year after the male died, I was given the hen... and here is her most recent picture.
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I'd also like to introduce you to Tomi Girl. She was found in someones yard and named Tom and stuck in a "finch" cage. The original cage was 3 times smaller than you see in the below image
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If you look at that image, almost everything Tomi Girl had then was from myself.
Minus all the items in her cage this is the condition in which I got her in... at around 56 grams, give or take
And in these pictures below, this is 12 grams later...


Quite disgusting if you ask me. And the excuse given to me for why she was so thin? The *owner* "sometimes forgot" to feed her.
Mind you, this doesn't include the situation she came from... a house full of chainsmokers, probably up to 2-3 packs a day, countless amount of cats, and of course marijuana and who knows what else that may have been smoked around her.... or the fact that she became a chronic egg layer in that home and they repeatedly removed her eggs. Nowadays, Tomi Girl has been keeping a weight of 80-85 grams. She still feels/looks thin but she hasn't gained any more weight but I'm fine with that.
That's only 3 cases of neglect out of 10 (include the whiteface male tiel who was rehomed). Now, if you've read this far, and you can see where all of us anti-breeders are coming from, then you should be able to understand why we are against you allowing any of your birds (or future birds) to breed.
And since it really isn't any of OUR business as to what you do, then my best suggestion is that if you ARE going to breed your birds, then do so responsibly... make sure you have the time, the money, and the effort to put into breeding birds, as well as all the pros and cons of breeding. Make sure you have 1-2 good avian vets on hand, as well as one emergency avian vet (for after hours), and maybe some avian breeders, too, who could help you out in an emergency... as well as all the necessary supplies to breed and handfeed... and do all the reading you can on breeding and get a couple of handfeeding books. Also, be sure you put same species together that are unrelated.