A strong healthy crop starts with good healthy soil, so don't forget to spend a little time enriching your soil for best results. The University of Florida has a great article on growing vegetables with organic soil amendments.
And, if you'd like to avoid using toxic pesticides on your crops, you'll find their article on using natural products for insect control helpful.
For some hands-on information, visit these Florida garden bloggers who successfully grow vegetables in the Sunshine State:
What varieties of beans, corn, cucumbers, eggplants, peppers, squash and tomatoes have you grown successfully in your vegetable garden?