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as in my post above, I said the grand...but in rereading your teens ages...is there a royal carribbean ship, especially the larger ship like the adventurer or the voyager that would work for you? the kids would have a ball on those ships...alot to do for them and just as elegant for you as well. I have done princess and royal caribbean many times and when I brought my kids along, whose ages were young teens up to mid 20's, I would always do royal caribbean. on princess you will find a bit older crowd and not many kids or teens around your kids ages. royal carribbean has more activites suited to families then princess does.
