With that many people, I definitely suggest renting a van. There are several car rental companies within 3 miles of the pier. They'll pick you up and drop you off for free. It'll definitely be ALOT cheaper than purchasing any excursions, that's for sure!
The Kennedy Space Center is only about 20 miles away and is wonderful for kids of all ages.
Disney world is only 65 miles away, but you really don't have enough time for that considering you'll spend about two hours driving there and back. Same is true for Sea World.
Unfortunately, there's just alot to do in the immediate area, so you basically are limited to KSC or the beach - and there are some nice beaches in the area.
__________________ Travel Agent/Cruise Specialist w/13 yrs exp and 48 Cruises on 11 cruise lines! Favorites: Paul Gauguin - Tahiti: Uniworld River Cruises - Europe; Celebrity Solstice-class ships; Holland America - 12-nights Baltics & Russia; RCCL - 14-nights Greek Isles, Turkey, & Croatia; Holland America - 14-day Alaskan cruisetour; 10-night Canada/New England cruise; 21 days Hawaii w/7-night NCL cruise; Oceania - 25 days in Asia; more than 3 months touring Europe by train. And many all-inclusive resorts!