di4chat2 said:
Thanks so much for all the responses. On renting the stroller for a week, is the ticket you get for the stroller good even if you go back to the resort and come back later in the day to the same park or different park? Sounds like we will need a stroller!
Yes it is good al day regardless of the park you go back to. Just keep your receipt.

From this site re the lenght of stay rental
Disney World
Stroller Rentals
Strollers can be rented upon entering the theme parks and at Downtown Disney. Strollers are not available at the Water Parks.
Fees:
$10.00 for single - $8.00 per day for Length of Stay rental
$18.00 for double - $16.00 per day for Length of Stay rental
When purchasing a Length of Stay rental, you show your receipt and can bypass the queue with little or no wait.
Magic Kingdom
Stroller Shop 8-273-6644
Main rental is to the right as enter the turnstiles
Replacements:
Main Street U.S.A. at Strollers/Wheelchairs
Frontierland at the Trading Post
Tomorrowland at the Tomorrowland Terrace
Epcot
Stroller Shop 8-224-6356 - Main Entrance
8-224-6520 - International Gateway Entrance
Main rental is inside either entrance
Replacements:
Germany at Gas und Porzellan
Disney-MGM Studios
Stroller Shop 8-264-4534
Main rental is at Oscar's Super Service
Replacements:
Tatooine Traders
Animal Kingdom
Stroller Shop - (407) 938-2135
Main rental is at Garden Gate Gifts inside the main entrance
Replacements:
Mombasa Marketplace
DOWNTOWN DISNEY
Fees:
$10.00 for single stroller with a $250.00 credit card imprint deposit required - $8.00 per day Length of Stay rental
Double strollers are not available
Marketplace:
Marketplace Guest Relations between Once Upon A Toy and Summer Sands
Monday - Friday: 8:30am - 11:00pm
Weekends: 8:30am - 11:30pm
West Side:
West Side Guest Relations between Pleasure Island and AMC Theaters, below the West Side Tower
Hours: 9:00am - 11:45pm