Hi Lucy!
There are indeed locations at each of the 4 parks where you can
rent a single or double stroller for your little ones. The cost is $15 per a day for a single or $31 for a double, you can save more money by purchasing a multi-day pass. You just choose the number of days that you wish to rent your stroller and pre-pay that amount, the price of a single for the multi-day pass is $13 and the price for a double is $27. If you plan to park hop to a different park, you will just need to show your receipt in order to receive a new stroller.
While the strollers at Walt Disney World are perfectly fine, you can only use them in the parks and not other areas of your vacation. Plus, the strollers also have no storage room for storing cups and other items. I highly recommend contacting Magic Strollers, this company also rents single and double strollers at a reasonable price. The best part is that they will deliver to most area Walt Disney World hotels and pick them up. Plus, you will have the convenience of having a stroller for your entire vacation and not just while you are touring the parks.
Single strollers are $15 for the first day and $8 each additional day. Double strollers are $25 for the first day and $9 for each additional day. I used this company last year and highly recommend them, the stroller they used is the Baby Jogger City Mini single and double strollers. The strollers were exceptional clean and waiting at my resort upon our arrival. Check out their website at magicstrollers.com for more information.
I hope you have a magical vacation and please let me know if I can offer any more help!
Best Wishes,
Mandy