Dear Brittney,
Thanks for reaching out to us here at the Disney Parks Moms Panel with
your great stroller question! With all of the walking that Guests do every day, I definitely agree that strollers are a necessity!
At this time, the Walt Disney World strollers that are available to rent "day of" at the Park entrances do not fold flat for napping (although I see plenty of little ones napping in them anyway, that's how tired they are!).
However, Walt Disney World also offers Featured Stroller Providers, from whom you can rent a stroller for a day or for your length of stay while you are here! I recommend that you call one of them well ahead of time, because all three providers rent strollers that recline all of the way back for the youngest Guests. Those three providers are Magic Strollers at (866) 866-6177, Orlando Stroller Rentals at (800) 281-0884, and Kingdom Strollers at (407) 271-5301.
Also while you're here, be sure to
check out the Baby Care Centers when your child (or you!) needs some down time or a cool rest!
Hope that your magical vacation is tantrum-free since you'll have a comfy home away from home for your little one to nap!
-Jan K.