Hi Arianna, and welcome to planDisney! I have two children of my own, so I am quite familiar with navigating the theme parks with strollers. Let's go over some important information for your upcoming visit.
Unfortunately, stroller wagons are on the
list of prohibited items at Walt Disney World Resort. The
rules for using strollers indicate that strollers must be no larger than 31" in width and 52" in length. Before you get your measuring tape out to check and see if you have a suitable stroller at home, consider
renting a stroller from Disney. You can rent a stroller for a single day, or enjoy some savings with a length of stay rental. Rental strollers can't be removed from the theme parks, but you can show your rental receipt at the next park destination to get a stroller there.
I know this is not the answer you were looking for, and I hope that a stroller from home or one of Disney's rentals will be a suitable option for you and your family.
Before I go, I do want to share one additional resource with you. You mentioned sensory sensitivities in your question, so this
Sensory Experience Guide may prove helpful as you plan your visit. If you have additional planning questions or need more tips, please feel free to reach out to us here at planDisney.
Stay magical,
Scott