If you, open this link, and on page one you'll see a list of all the locations you can dine at, all listed under the resort/area location.
Remember that you can travel to virtually anywhere on property using the free buses, water taxis and Monorial. Disney is huge, so take advantage of it go eat somewhere different as often as you can.
Have fun :)
And yes, they would welcome you checking out the other hotels as well and I recommend doing that as well. A majority of the hotels have at least one excellent place to eat.
Walt Disney World's Magic Kingdom
Disney's Animal Kingdom
Disney's Hollywood Studios
Disney California Adventure
Universal Studios Florida
Universal's Islands of Adventure
Universal Studios Hollywood