Mike you might find a workable alternative is to use one of Disney's kids clubs if you were going out on Disney property. My daughters loved the Neverland Club at the Polynesian hotel, There are/were also clubs at Boardwalk, the Beachclub and I think Wilderness lodge. It's not cheap, but it does include an evening meal for them ( hotdog, chicken fingers, Macncheese type stuff) and endless use of the computer arcade games they have as well as a character visit and usually an animal "show and tell" experience.
I have used a child minding service that was "recommended" by the travel agents on one of my early trips and the kids really liked the girl who came. She brought all sorts of books and games with her. After reading the "disclaimers" that both the travel company and the agency gave I thought a little more about the process of allowing a complete stranger into your "home"/room to look after your kids and the possible dangers attatched to that action I decided that I'd rather not take the tiny chance that something went wrong with such an undertaking and that the registered and controlled child minding at a club like those run by Disney (and now Universal) was a much safer option and worth the slightly higher cost. Plus the kids absolutely adored the Neverland club and thought it was magical to enter the club through a window and get sprinkled with "pixie dust". It offers both kids and adults alike a great evening out.
I'm not knocking anyone who decides to go along with the child minding facilities offered by any of the companies around Orlando, just for me having thought about it I didn't think it worth the risk. America is such a big country with a transient population that should anyone try to abduct a child, tracking them down could prove an enourmously difficult task.