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.
47 Cruises & Counting! Favorites: Paul Gauguin to Tahiti: Uniworld River Cruises in Europe; any of the Celebrity Solstice-class ships; Holland America for 12-nights in the Baltics & Russia; RCCL for 14-night Greek Isles, Turkey, & Croatia; Holland America for 14-day Alaska cruisetour; 10-night Canada/New England cruise; 21 days in Hawaii including a 7-night NCL cruise; Oceania for 25 days in Asia; & 3 months touring Europe by train. And many days spent in all-inclusive resorts!