We go to Orlando/Disney frequently as I have 2 sons down there, one in school and one that works at Disney. We always rent a home, and if you compare the prices they are actually cheaper than renting a hotel.
You want to look for the ones that are closest to Disney, Kissimee area. I feel much more comfortable leaving our pets in a home if we go out to eat or something than I would leaving them in a hotel (which I wouldn't do) because of the maid service going in and out.
Here are a few options.
http://www.homeaway.com/Orlando-Disn...on-rentals.htm http://www.villas2000.com/frbvo/central_pf.php http://www.vacationhomerentals.com/v...ea-Florida.htm
Edited to add: There is a backway to get to the Disney parks from most of these houses without getting back on the Interstate. If you make reservations at one of them, you can pm with the address and I'll see if my son can give you the directions to go in to the parks the back way.