Disney has some great choices for child care. Depending on how old your children are, you can take them to one of the Children's Activity Centers which are located at Deluxe Resorts (no, you don't have to be a guest at those resorts). These centers usually provide a dinner, movies, video games and art & crafts activities as well as some great toys to play with. My nephews have been to the Cub's Den and the Sandcastle Club and absolutely love it at both of them. They usually wish they could spend many more hours there. There's an hourly fee and when you drop the children off you will receive a pager in case of emergencies. The person that drops the child off must be the same person picking them up or the child will not be release. Disney goes to great lengths to make sure the CM's watching your children are well trained and ready to deal with any possible situations. There is always at least 2 CM's at these centers, usually more.
Now if you have younger children, you may want to think about an In-Room Babysitter through Disney. You would set this up through your resort and you can be assured that these sitters are certified. Go ahead and have a great, relaxing dinner for two. Your kids will be well taken care of and will have a great time too. Why wouldn't they.....they're at WDW!