Some ships have what they call family cabins--we went on RCI with 7 grandkids and had a family OV room and a balcony cabin. The family OV was really nice--quite large, good storage, a curtained sleeping area for adults, a big sleeper sofa and a bunk room--which was very popular with the kids.

The only downside is that there was only one bathroom. It slept six--at times we had 7 in there.

Price was good as it was a 5 day and 3-4 passengers were greatly discounted. Sometimes there are kids sail free promotions. We took all 9 of us for under $4000, including 3 days in Florida and air from Nebraska.

Another option is to get connecting cabins; really nice since there are two bathrooms. Some people get a balcony and an inside across the hall, but I wouldn't with the age of your kids unless one of you is going to sleep in each cabin.
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