I'm sorry to hear that you need to rehome your birds. Here are a few Florida links I found with a quick google search. I hope one is close to you. Please also look at my site linked at the bottom of my post. There is an article there on what to look for in a reputable rescue, unfortunately, not all are created equal.
http://floridaparrotrescue.com/http://www.cockatielrescue.org/Echo's Haven Sanctuary. Rescue only. Loxahatchee. - no link provided
Gainesville Cockatiel Rescue. Small to medium birds only. Jennifer,
cockatiel_rescue@hotmail.com http://plaza.ufl.edu/jhugus/ - this one is currently full
Melbourne Avian Rescue Sanctuary.
http://www.marsparrots.org/Parrotdise Found Parrot Rescue & Sanctuary. Rescue and adoption, southwest Florida. 501(c)(3) nonprofit.
parrotlady1607@earthlink.netSafe Haven Avian Placement Service. Rescue and adoption, fee, Hudson; P.O. Box 7127, Hudson 34667; (727) 712-8012;
info@safehavenfl.orgTri-State Avian Society, Inc. Rescue and adoption, fee, local placement only; 501(c)(3) nonprofit;
barryl7523@comcast.net http://www.tristateaviansociety.org/Ziggy's Haven Bird Sanctuary, Inc. Lake City.
http://ziggyshaven.com/