Good morning, Patti!
Thanks for your question and for visiting us here at the Disney Parks Moms Panel!
The short answer is absolutely, yes, you are allowed to bring your own stroller into the parks. Many guests choose this option as it is the most convenient option for them. However, many guests also choose to leave the stroller at home and utilize
Stroller Rentals at all of the Disney theme parks and Disney Springs. If you ever decided you wanted to use this option, it is available. There are also a few companies that will rent strollers from outside of
Walt Disney World Resort. They are listed in the Stroller Rental link.
So, the way I see it, you have three (3) option and can decide what works best for you and your family.
I hope this helps and I wish you all a Magical trip!!
Chris