My and my wife's favorite BBQ place is PA BBQ Grille. It is a franchise chain, but we were impressed from our first visit and have never been disappointed. The service is always great, and the bbq chicken is the best I have had anywhere. The ribs are outstanding too.
Jenkins BBQ in Ft. Lauderdale is worth the drive from Miami. Moist, tender, and just the right amount of smoke. Community picnic tables in the dining room add to the charm. Baked beans are a little too sweet for my taste, but the pulled pork and ribs are terrific. Expect a line out the door when you go.
P.S. They're closed Sunday for church and Monday for fishin'