We just stayed there last week too! The walk was very very short especially if you cross at Manchester (thank you Dangermouse et all for the great tip) and walked along the Disney property and cut through the Taxi/cast shuttle spot before you get to the main shuttle entrance. That way, you don't get stuck behind slow walkers past Mimi's McDonalds all the other hotels, and you don't have to walk through the main shuttle area with hoards of people getting off their busses. It was terrific.
We had a 6, 7, and 8 year old with us and later in the trip a 4 yo, and the big kids did great. The little guy had to use shoulders or if we were still stroller people, we could have used a stroller. I'd plan on walking if I were you and you can figure out alternatives later on if necessary!
We had people ask us at the traffic light "which way to the parks" in their cars, and we found it terribly odd to drive and have it take so much longer than just hoofing it. I mean it's right THERE! We had a great view of the Matterhorn, in fact I thought it felt closer than our walks from the DLH in 2005. A better view too!