I have not had much luck growing cut flowers here compared to Illinois. I do enjoy planting flowers here year round that I can see while sitting out on our lanai, as well as in the front yard. The flowers that have grown well for me here include pentas, mandevilla (a flowering vine), salvia, and drift roses. Now I have perennial camellias and several winter annuals blooming, including petunias, pansies and geraniums. My favorite garden centers here are KB Landscapes and Fairfield Farms.
Here’s another good source of Florida flower gardening info:
Ornamentals - Gardening Solutions - University of Florida, Institute of Food and Agricultural Sciences