Miami, South Beach great area to stay, have some delicious Italian at …, check out Calle Ocho, which is a very cool Cuban area, and go play some domino’s with the locals.
Key West, a great day trip from Miami, drive via all the keys (islands connected by bridges) to the Southernmost point of continental U.S.A. Key West is also nice to stay longer, it has a very relaxed Caribbean feel. Have some Key Lime Pie, or even as ice cream on a stick.
Everglades, go for an air-boat trip through the area of course, it is quite noisy, but you’ll get some tissue paper to stuff in your ears. And you’ll get to hold a baby alligator.