Well...everyone is different so I'll tell you what we like.
First, relax and know that you can't do everything. Be patient as some activities can be busy like characters meets-just allow plenty of time. Ignore those on board that may irritate you (there is always some one) and enjoy your cruise.
We love the shows and are very exited to see the new Toy Story Musical. If you have first seating them you can catch the second show and if you have second dinner seating you catch the first. Hint...if you have second dinner then grabs some fries, pizza (near the goofy pool), some thing to drink or a good snack to take to the show to hold you until that late dinner. Remember these items are "free" (of course you paid for them when you paid for your cruise). We love late dinner.
Make sure you read your Navigator. You can bring a highlighter to help keep track of those things you really want to do, or just use the ink pen in your stateroom. If you like movies there is usually a late one in the Buena Vista theater after late dinner, you may need a nap in the afternoon to stay awake for the whole thing.
Don't miss dinner, they are so fun and the staff can be quite entertaining for the children with little tricks and stuff.
Nassau is not for everyone. We like to go to the Straw market. We give our teens $5 and see how they can do. There are many repeat items in the market and don't pay the first price asked. It can be overwhelming and hot. I wouldn't take my children in when they were younger, but that's me. Some like to stay on the ship and skip going into Nassau. The local are a little pushy when you first get into the city.
I have never been to Palo's (the adult restaurant). I have heard good things, but for us it is a family vacation and I enjoy dining with my family. My DH and I usually find a little time here and there when our kids are busy with an activity.
The best part of our cruise will be two stops at
Castaway Cay. We like to walk around, snorkel and enjoy the big BBQ-don't miss the big chocolate chip cookies. Take a few extra and let them sit in the sun and get nice and warm and gooey-very very good. If you need some exercise, deck 4 is like a track outside. It circles the ship and has shade.
I have rambles enough...can't wait to get on the ship!