Welcome aboard, Katty! Disney Cruise Line has the perfect Port Adventure for your family when you disembark the ship in Miami!
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Miami Hop-On Hop-Off City Tour is perfect for those families that have a later flight out of Miami or Ft. Lauderdale airports. No one wants to get off the ship after a magical cruise vacation only to sit in the airport terminal for hours on end waiting to fly home. Disney created this adventure so that guests can spend a few hours exploring the sights around Miami, with no worries about rental cars or storing luggage, then head to the airport.
This tour allows you to choose from two different loops around the city (Miami Beach or the City Loop), so read a bit more on Disney's Port Adventures page about what you can experience on both loops and choose the one that sounds the best for your family. You are free to hop on and hop off wherever you'd like at any of the 20 designated stops should you want to further explore on foot. Then, simply hop back on the bus that returns every 15 to 30 minutes and continue your tour.
When you're done exploring Miami, you'll get off the bus at the luggage storage area stop and you can then board a motorcoach to Ft. Lauderdale airport. Currently, Ft. Lauderdale's airport shuttle is scheduled to leave the luggage area at noon and 2:00 p.m., so you'd have to plan for the noon shuttle in order to arrive at the airport with enough time to check in before your flight. As with everything, though, times are subject to change, so be sure to verify the shuttle departure before you head out for the day.
I hope you enjoy your extra time exploring Miami after your cruise, Katty! Let me know if I can help with anything else before you set sail!