You can rent them but they are very expensive IMHO. If you don't want to bring one through the airport you can actually purchase an umbrella stroller for around $50 at the parks and resorts. It is only marked up about $8 so I really don't think that's bad. We actually just bring our umbrella stroller with us thru the airport as my son sometimes wants to go for a "ride" as we're waiting for the plane. As a PP mentioned, there are also companies that rent them. Another reason I do not like renting Disney's other than the $$$ is that you cannot take them out of the park. That means you would potentially have to carry a sleeping child all the way to the car. Just some thoughts.