Your agent should be willing to take care of this for you - that's their job. And cruise specialists who do this all the time will have the names of companies they use on a regular basis for groups.
And yes, there are several companies with large enough vehicles for your group, that's not a problem if you want to keep the whole group together.
Keep in mind that the Ft. Lauderdale airport is only about 3-1/2 miles from the cruise pier and taxis are only $12 each way (not per person) and taxis are readily available. So if you don't need to keep the group together, that's the quickest, easiest way to get the job done.
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!