Hi Laura,
Welcome to the Disney Parks Moms Panel! We're glad you're here. I'm happy to report Guests can rent both single and double strollers in the theme parks and at Disney Springs.
Strollers rentals are available by the day or you have a length of stay option. The current rental price for a single stroller is $15 per day or if you choose the Multi-Day option, it's $13 per day. Double strollers currently cost $31 per day and $27 per day, if using the Multi-Day option. Please keep in mind that prices are subject to change. Strollers will need to be returned before leaving the theme parks. If you visit a theme park and decide to leave for a break or "hop" to another park that same day, simply keep your receipt so you can get another stroller without having to pay again.
If you prefer to have a stroller that you can use both inside and outside of the theme parks, there are a few Disney Featured Providers to choose from in the area. Follow the link I've provided above to learn more about stroller rentals at the theme parks and through the private companies.
Laura, I think you're very wise to use a stroller when visiting
Walt Disney World Resort. The amount of walking can be quite challenging for young Mouseketeers over the course of the day. If you have any additional questions, please don't hesitate to visit us again. Best wishes for a magical trip!
Happy Travels,
Jodie