Strollers are available to rent at the 4 main parks and Downtown Disney. They are not available at the water parks.
Magic Kingdom Park
Main Street, U.S.A. at Strollers/Wheelchairs
Main Entrance Plaza
International Gateway Entrance
Disney's Hollywood Studios
Oscar's Super Service - just inside the main entrance.
Disney's Animal Kingdom
Garden Gate Gifts - just inside the turnstiles at teh main entrance.
Downtown Disney Marketplace
Strollers & Wheelchairs ( between Tren-D and Once Upon a Toy)
Downtown Disney West Side
DisneyQuest Emporium next to La Nouba
Length of Stay rental
A Length of Stay rental ticket allows you to make a one-time payment for as many days of rental that you will need. On visiting a park, show your receipt at the stroller rental location and you will be directed through the queue with little or no wait. The multi day also gives a reduced daily rate.
Two types of stroller are available, a single or a double.
As of June 10 2011
Single Stroller $15 per day
Single Stroller multi day $13 per day
Double Stroller $31 per day
Double Stroller multi day $27 per day
Downtown Disney also requires a $100 credit card deposit