I just returned from the Bermuda cruise. Formal nights were dark suit and tie or tux. I'd say that about half were in tuxedos. Women wore a wider range of outfits. My wife wore long gowns because she wanted to (we went all out). She was one of only a few who did. Many women wore nice dresses/cocktail outfits. We saw very few kids. A couple of teenagers in the Britannia Grill were in Sunday dress. Coat and tie for boys, nice dress for girls. Informal nights are just sports jacket and tie for men, and cute dresses/pantsuits for women. You'll probably have 3-4 formal nights (the eastbound crossing right after our cruise listed 4 of 6 nights as formal). Hope this helps.