I rented a stroller at Downtown Disney 2 years ago. I don't know if they still do. But I went to the guest services office and they had 3 strollers total to rent. You do have to put a deposit down for it, but if you return the stroller than you get it back. The deposit was, I think, $50 but at that point with a crying, tired 2 yr old, it was worth it. We put her in it, and she went right to sleep.