We have used Airport Express twice for a private Town Car with driver. It's $55.00 one-way, not including a 15% tip. It was actually cheaper and nicer than a taxi. They'll bring for from FLL right to your hotel. They have a website www.floridalimo.com. you don't need a reservation, they're right outside the door as you exit the airport.
We have also used them. They also have a share a ride service that was $15/person - I have read that it has been raised to $16. Their full name is Tri-County Airport Express.