If so, I agree with TheHop, Eastern Caribbean is great. Really good stops at St. Maarten and St. Thomas to name a couple.

I would recommend Royal Caribbean. Family friendly and good boats. Try for one of their big 'less new' Oasis class ships (Oasis, Harmony, Symphony). More fun for a first cruise, and the prices aren't nearly as bad as their newest ships like Star, Wonder, Utopia, or Icon.