Hi Judy!
We thank you for your question!
I do understand how our little Mouseketeers need to stretch those legs after sitting in their strollers for long periods. When my son was a toddler, the biggest challenge for my wife and I was finding a way to keep him
in the stroller. He was simply a small bundle of boundless energy at the time. :-)
I can't recall much real estate in
Hollywood Studios where a toddler can move somewhat freely without bumping into a congestion of guests. At
Magic Kingdom, however, there is a grassy area between the walkways right in front of Casey's Corner and The Crystal Palace restaurant (before approaching
Cinderella Castle) where you will find people sitting on the grass. Some are eating, while others are there to simply take a breather. It's not a large area, and certainly not large enough for a child to run around, but if you're looking to just get them out of the stroller to stretch those legs, this may be a suggestion.
Another area is right in front of the Rockettower Plaza Stage in Tomorrowland. When there isn't a performance going on, this area generally gets less foot traffic than the rest of Tomorrowland. Perhaps another place where they can at least get out the stroller and walk a bit without getting run over..
Beyond that, restaurants and slow-moving rides (i.e. Tomorrowland Transit Authority People Mover) may provide your little one the respite they need.
Hope this helps. Have a magical day!
Terry