Hi Jessica!
Thanks for visiting the Disney Parks Moms Panel with your question. As a mom who now loves
taking a stroller on all of our Disney vacations, I definitely was concerned before our first trip with one about where we would stow ours when riding attractions. Know that you are not alone, and many people will need to park their strollers just like you. Since this is so common at both parks, you will find many Stroller Parking areas located near the entrances of attractions. Some are obvious with Stroller Parking signs and others you may need to ask a Cast Member at the attraction to point out for you.
One of my favorite things to do is notice the Stroller Parking signs in each land. Many are themed to their environments. For example the sign near Jedi Training says "Land Speeder Parking" and in Grizzly Peak you will find "Junior Rangers Parking." These little details always remind me of why I love Disney Destinations so much!
You may also want put an identifier your stroller in the parks. Something as simple as a few ribbons (as I use) or as creative as a customized family name tag (as fellow Disneyland Resort panelist
Courtney uses) can really make life easier when you are looking for your stroller as you exit an attraction. Keep in mind that sometimes Cast Members may move your stroller to a nearby area to accommodate others, so this will be even more helpful.
Please feel free to return with any other questions you may have. I'd love to add a little pixie dust to your vacation!
-Jennifer