Food and feed crops of the United States. Lychee info from the California Division of Plant Industry.
Lychees grow well in South Florida.
Use fertilizer very sparingly or not at all until the trees are well established, I'm convinced that people kill more lychee trees by overfertilizing than by any other means. There are significant differences in growing the different lychee cultivars. While some seem to tolerate the highly alkaline soils of Dade County quite well, such as the 'Brewster', others such as the 'Sweetcliff' simply will not grow unless the soil has an neutral or acid reaction. Where I live the soil is mostly muck, which I suspect has an acid reaction.