They are not disney themed. I remember them being red and black and costing around $40. We looked at them at the beginning of the week trying to decide to buy that stroller or getting the disney rental for a week. Yes the umbrella one was cheaper but much smaller. Our littliest one turned 5 while we were there and we never intended him to nap in it. Just provide a refuse from the sun and the crowd.
I saw them at Epcot where you rent the strollers. I don't remember seeing them at MGM(opps I mean Hollywood studios).