That is a difficult question with the issue of bird health thrown in. I am not aware of plants affect on birds and suspect that it is not a problem having not heard of such a thing being an issue before.
Plants for a wet area often can get aggressive in their tendency to spread. Some to consider include Louisiana iris, canna, and yellow bells (Tecoma stans). In order to provide you with more information than we can fit in this brief answer, let me refer you to the following web site, which should be very informative and useful to you.
North Florida Landscape Plants for Wet Areas
Flowering Perennials for Florida
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