Supper Club reservations can sometimes fill up fast. Try and make them as soon as you can when you board. I'm sure you have great kids, but truly the supper club atmosphere is not for them. This would be one night where I would feed the kids early and either get a sitter or have Grandma watch the kids.
we made our supper club reservations on the first night we were there for the 2nd night.
do make sure you make them as soon as you board and dont miss it. it is really neat and the food is better than the dining room, really elegent.