Hi Joyce, and welcome to the CruiseReviews forums.
We've been to Bermuda several times, most recently in 2006. It's a lovely destination and I agree that the cruise line is of less importance in this case. You'll dock at King's Wharf, once considered out of the way yet it has been built up considerably in the past few years. There is also easy access by ferry to St. George and Hamilton and by bus to the famed south shore beaches. The one negative to this particular itinerary, however, is that the 24 hours you will have there is not much.
We tend to favor HAL (presently have two cruises booked) and Celebrity, yet have also enjoyed Carnival, including a Caribbean cruise last summer on Carnival Elation, one of Carnival Fantasy's sister ships. And, based on my experiences to Bermuda (most of which have been on NCL), there is generally a more seasoned group of travelers onboard.