We went with Orlando
Stroller Rentals - they drop the stroller off at the concierge desk on your check-in date and you leave it there when you leave and they will pick it up. No muss, no fuss.
However, be careful what name you list if you use them! When it asked what name we wanted on the tag, I just put my son's name (since he would be the one riding in it), but there was a small snafu in finding the stroller because even though the reservation was under our last name, the stroller was listed under "The Lucas Family" (my son's first name).
I would consider using them again - good quality strollers for kids of all ages (my son is 6 and we used it walking to and from MK - a lifesaver when you're walking back to Bay Lake at midnight).
I should state that it will be at the main concierge desk - not the front desk. We stayed in Bay Lake Tower, so the stroller was at the concierge desk in the Contemporary.
I would go ahead and make reservations for April - I don't think they would run out, since Easter is in March, but I'm the type that likes to get those things out of the way, so I don't forget about them later

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