First of all, this hotel is not "right outside the airport" in Miami. I found myself by accident - but enjoyed the stay. They have an airport shuttle that picks up pretty reguarly but only makes trips to the airport on the hour starting at 7. If you have a flight out earlier, you may be required to take a cab - and that would be very expensive as the hotel is 10 miles (or so from the airport).
Once at the hotel the rooms were suite style rooms - nothing fancy but very comfortable and plenty of space. They offer a complimentary breakfast with hot foods. Actually, Hamptons are one of the best with pre-made omlets, bacon, hard boiled eggs, plus pastries and cerials.
The service here was outstanding - and the van driver was one of the best in the business.