On Monday, we drove up to the Everglades National Park, stopping at the "Robert is Here" fruitstand on the way there (and the way back, as well). You can find some strange tasting tropical fruits. I recommend the Key Lime Jellies if you want to try something Key Lime related. We bought a bag of sweet and huge oranges from the Keys.
Alligators and Anhingas were congregating near the "Anhinga Trail", since it is one of the places where water can be easily found during the dry season. There are some interesting trails, but they are very short.
I suggest you bring food, if you plan to stay the whole day in the park. There is no where to buy food or water except for vending machines, which are pricey. There are couple picnic tables at Long Pine Key for you to sit down.
We drove to Flamingo which is 38 miles from the main visitor center, for kayak and bike rental, but I was disappointed to find out they refused to let customers rent at 4 pm.
We swung by the Alligator farm on the way out and missed the alligator feeding and snake show, which started at 2pm.