Well I was a little worried that we booked our cruise at Spring Break but all turned out fine. The ship was sold out but it was never a problem. It still did not feel like Disney World!! We were traveling with 2 children ages 11 & 15.
We embarked at Miami with no problems. I noticed that lots of families brought on 12 packs of soda with no problem. I would recommend that if you have children or you love to drink soda, each guest can bring on a case of soda with no problem. We got there around 11am and was on the boat by noon eating lunch. The luggage took a little while to get to our rooms so bring a little carry on with any change of clothes that you might need right away. Our kids wanted to get in their bathing suits immediately. We got upgraded to the Spa deck which is deck 11. That was great but the only problem with the Spa deck is that deck 12 right above us was the "sun deck" and EVERY morning around 5am the crew would put out the lounge chairs and it would wake us up with the loud banging. We informed the Pursers desk but that did not help at all. I would recommend deck 10 if you can get it.
The first night the kids should go to the kids club so they can meet kids on the ship their own age. My kids had a blast and meet a lot of new friends.