My 16 year old daughter and I travelled on the Carnival Liberty in the Caribbean and it was excellent. Lots to do.Sauna looking out to sea through large windows...very girlie.
Royal Caribbean or Princess Cruise.
Navigator of the seas is a fantastic ship with lots for both of you to do, also ocean village is excellent as there are a lot of other families like yourselves.
Ocean Village is fairly young, with lots of activities for the more energetic (including when the ship visits ports.
I took my wife and 15 year old daughter on the island escape 4 years ago we all enjoyed it.
Without doubt Ocean Village. My daughter and grand-daughter love going together on this shi.