OK, since the locals are a little shy I try to help you out. I was in Ft. Lauderdale several times on vacation. In the city itself you might find the omnipresent brown anole (Anolis sagrei). I don’t know about the surrounding country, because all we did was going to the beach, eating and shopping
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Plan for at least one full day for the everglades national park. From Ft. Lauderdale it is about 1 hour drive to the park entrance. The visitor center here has some good general information about the glades and the wildlife, but especially about the density of the most beloved animal in the everglades the mosquito, they even have a scale (from light to Aarghh)
Probably the most interesting trail is right next to the park entrance, the Anhinga Trail and the Gumbo Limbo Trail. The Anhinga Trail leads you to round trip along and above some deeper water. During the summer is the rainy season, so there is a lot of water and the animals are more dispersed. You may find a lot of different birds, fishes, insects, spiders, frogs, turtles, lizards, snakes and of course alligators. Any time I came here I found at least one alligator, sometimes two or three or … many. I also found different species of turtles, anoles, once a large green iguana, black racers (Coluber constrictor), an Everglades Racer (Coluber constrictor paludicola) and some water snakes (Nerodia sp.) I couldn’t identify (they where a little too far away and between a lot of greenery).
The Gumbo Limbo trail right next to it is a trail through a wood. Here you can find snakes and lizards as well, but also nothing at all.
There are other trails on the road south, but none is as good and as diverse as the Anhinga trail. If you go all the way south to Flamingo, you have a pretty good chance to see alligators in the marina and if you are lucky you can see an American crocodile as well.
The Miami zoo is also interesting, they have a nice Amazonas house with several interesting reptiles.
If you are also travelling north to Orlando make sure to visit the Reptile World Serpentarium in St. Cloud.
Some pictures from the Everglades National Park I took over the years as teasers...
black racer (Coluber constrictor)
Everglades Racer (Coluber constrictor paludicola)
eastern diamondback rattlesnake (Crotalus adamanteus) I found crossing the road
American crocodile
An Alligator killing and eating a turtle
Roman