Welcome aboard pardner. I'm in Florida too, all my life. Your basics would be a 6 1/2' - 7' medium to medium heavy spinning rod with 10lb test line. You can pick up a nice little spinning outfit for you and your son at Wal-Mart for about 30-40 bucks apiece.
Get some rubber worms in the June bug or Red shad color. Any brand will do but Zoom and Culprit are the most popular. Get the 6 inch or 7 1/2 inch length.
Get a pack of 1/8 ounce bullet (worm) weights. Try and get black ones but regular lead color will work too.
Get a pack of 3/0 tru-turn hooks to rig the worm.
All this can be had for under $100.
Read the articles on this site and like suggested earlier, try hiring a guide and tell him you want to use artificial so that way you can learn.