Along with HAL, be sure to check ships and itinaries for Celebrity and Princess, they all may fit in with your travel plans. The time of year you plan to go with also effect the passengers onboad, avoid the "Spring" break time and any school vacation period for less kids/families.
Go to Bermuda. We did this for our 25th anniversary 2 years ago. We went on Celebrity Zenith from NYC to Bermuda. That goes out of NJ now. We liked everything about it. Bermuda is wonderful. Of course we play golf, so you can see why we liked it. We went in October--the second to last trip there before they changed to going south for the winter route. There are several ships that go to Bermuda. Celebrity Horizon goes out of Philly and there was a NCL ship in port. We also saw one at King's Wharf but we couldn't make out what it was. I think you'd probably like this cruise.