Whenever possible, avoid I-95 in South Florida. Here's the route I'd take:


Link to Google Map (with exact directions): https://goo.gl/maps/vbZgNX96AyM2

Backtracking to Anglers Ave is helpful because of the right-hand turns. (I know I've driven past that area, but I can't recall if you can even turn left from SW 19th Ct.)

The Chevron station will be on your right side, too. That makes it easy to get into. You'll exit by turning right onto Griffin Rd.

You'll have plenty of time to get into the correct turning lane where Griffin Rd meets US-1. The signs for the airport are decent. The car rental return lane is on the left side once you make the wide curve into the terminal area.

Side Note: The Alamo folks at FLL are great. I don't own a car and I do a couple dozen rentals each year. I can walk to neighborhood locations for Enterprise, Hertz, Avis, and Sixt. But, I usually end up taking the bus to FLL and renting from Alamo because they have better prices and the staff really is superior.