There is now a central stroller location found just to the right of the main entrance to Disneyland. This now allows you to rent your stroller before entering either Disneyland or DCA. You can pay at the rental locations or at the ticket booths when you buy your passports.
There are many benefits to renting a stroller. It can be difficult to get on and off the tram with your own stroller or you may not wish to bring your expensive carrier to the parks. Disneyland's strollers are very easy to maneuver and you don't have to worry about it getting stolen. If your stroller is taken, you can get a new one free of charge just by showing your receipt.
Remember that regardless if you are renting or using your own stroller, use a type of marker to easily identify it in a crowd of strollers, such as tying a ribbon around the handle. Disney will provide you a name card to place on the roof of your rented stroller. Since many strollers are similar, the ribbon will make yours easily visible, and also keep someone else from mistaking it as their own. We experienced this with the popular Winnie the Pooh umbrella stroller sold at Target stores.