A friend just sent me a link to a local animal shelter. They have 9 or so white doves up for adoption and countless rabbits. Rabbits are the second most likely animal to be abandoned at a shelter. I'm sure we can all imagine the post-Easter rush they must all get.
If you are considering adding an animal to your act; why not look at a local shelter first. You can search for them at:
Further searches in the "other" category will help you find birds and bunnies.
Feel free to pass this information on to animal lovers and/or animal performers.