Kid's clubs are offered at some resorts too, if you are nervous about a private sitter in your room. Price is not that much higher.
They close at 12 AM though. You might want to stay out later. Also: Kids have to be potty trained (not sure how old your's are)
I've never used the private sitter option. Only the kid's clubs. It's not that I was afraid, I just never needed a sitter when my kid's were too small to go to the clubs. Now- they hate the idea of a sitter, and missing out on the activities at the resort.
Do a search on the DIS. Fairy Godmothers is one I remember reading about. They get high praise, and people will give you names of their favorite sitters.
Good luck, and have a great trip.