This just broke today on Disney Parks Blog:

"Due to the overwhelming positive response to our new policy regarding overnight parking fees at our Disney Themed Resorts, we are now proud to announce that we are extending our new parking policy to daytime stroller parking at each theme park. Disney guests will be able to link their magic bands to their designated strollers, allowing them to contribute a parking fee at each designated stroller parking area within the parks. As strollers as subject to being moved by cast members, Disney guests should be prepared to pay multiple fees at each ride. To be fair to all patrons, those guests using double wide strollers or wagons will be charged an additional fee. To help with the wear and tear on the streets of each park, as guests cross from one "land" to another, appropriate tolls will also be assessed based on the size and number of axles on your stroller or wagon. We thank you for your understanding and hope this increases your Disney experience"