Carnival Cruise Line doesn't have any cruises scheduled out of Fort Lauderdale. Maybe they will return in the future. They used to offer cruises from this port to the Bahamas, Eastern Caribbean, Western Caribbean, Southern Caribbean and Transatlantic.
Carnival Cruises have a deserved reputation as party boats, but they attract a lot of families with kids too. They are affordable and very casual.
The Carnival cruise terminals at Port Everglades in Fort Lauderdale were terminal 19 and terminal 26.