Disney has a plethora of transportation options aside from the monorail. Each theme park has a "resort area". For MK, the resort area includes: Polynesian, Contemporary, Grand Floridian, and Ft. Wilderness. The first three are on the monorail, Ft. Wilderness is accessible via boat. I'm not as familiar off the top of my head with the other resort areas, but I believe all of them have hotels that are accessible by boat as well as being in walking distance.
Aside from the ease of access for the hotels in your resort area, busses run from the hotels to the parks as well as DTD. If your welcome dinner is at a resort, that will make it more difficult as those who are taking busses will have to take a bus to the parks or DTD and then transfer to a bus to that specific resort. (Or take the monorail if it is one of the three monorail resorts.)