I would book Animal Kingdom Lodges. People seem too worried because they are a bit farther out. But they have bus service that is at least as good as anywhere else. I actually think they run extra buses to Animal Kingdom because they want to give service without delays. I have known people who stayed at Kidani Village with scooters and never had any problem.
The bus service to Animal Kingdom lodges is actually better than the bus service to Saratoga Springs, Old Key West, Swan and Dolphin, Yacht Club & Beach Club, Boardwalk Villas, Port Orleans Riverside, Caribbean Beach, Coronado Springs, and the all star resorts. The buses at those Resorts all make multiple stops. With extra time for loading and unloading at each stop. Also with multiple stops by the time the bus gets to your stop those buses are sometimes full. Sometimes those buses not only make multiple stops but go to multiple different Resorts before they go to the park or whatever their destination is. Animal Kingdom Lodge and Wilderness Lodge both avoid this problem. I just don't understand people who think Animal Kingdom Lodges are somehow a transportation concern.
Meanwhile I think that Animal Kingdom lodges is wonderful and unique. It is true I like Wilderness Lodge also (and am somewhat considering buying some
DVC points there) however it just seems a bit out of the way to me. And my understanding is that only some of the launches and boats can accommodate ECVs. Not having known anyone who used them there I can't say if this is the truth but it is something that I read.
Your younger ones may enjoy looking out at the Savannah at Animal Kingdom Lodges, or they may enjoy exploring the trails and interesting nature around Wilderness Lodge.
Truthfully, I think you will very much enjoy either place.