from Disney website:
Stroller Rentals
For your convenience, strollers are available for rent. Quantities are limited and subject to availability. The stroller rental fee is $10.00 per day* for a single-passenger stroller and $18.00 per day for a double-passenger stroller**.
For Guests who require a stroller rental for multiple days, we offer a Length of Stay rental ticket where you make a one-time payment transaction for as many days of rental that you will need. Single-passenger strollers are available for $8.00* per day and double-passenger strollers** for $16.00 per day. Upon visiting a Theme Park, simply show your receipt at the stroller rental location and you will be expedited through the queue with little or no wait time.
Magic Kingdom® Park:
Rentals are available at the Stroller Shop just inside the main entrance to the Park. In case you misplace your stroller, stroller replacements (with rental receipt) are available in other areas.
Epcot®:
Rentals are available on the east side of the Entrance Plaza and at the International Gateway. In case you misplace your stroller, stroller replacements (with rental receipt) are available in other areas.
Disney-MGM Studios:
Rentals are available at Oscar's Super Service just inside the Main Entrance. In case you misplace your stroller, stroller replacements (with rental receipt) are available at the In Character Costume Shop.
Disney's Animal Kingdom® Theme Park:
Rentals are available in limited quantities at Garden Gate Gifts at the Park entrance. In case you misplace your stroller, stroller replacements (with rental receipt) are available in other areas.
Disney's Typhoon Lagoon Water Park:
Strollers are welcome at Disney's Typhoon Lagoon; however they are not available for rent.
Disney's Blizzard Beach Water Park:
Strollers are welcome at Disney's Blizzard Beach; however they are not available for rent.
Downtown Disney® area:
Rentals are available at Downtown Disney West Side Guest Relations, at Downtown Disney Pleasure Island near Mouse House, and at Downtown Disney Marketplace Guest Relations.
* A $250 credit card imprint is required for deposit when renting a stroller or wheelchair at Downtown Disney®.
** Double-passenger strollers are not available at Downtown Disney®.