What grinds my gears is when people bring children to Walt Disney World... Let me explain myself before you freak out...
If your child needs to be in a stroller, it's probably not the best time to bring them. Chances are:
a) They are going to be too young to remember :brick:
b) You are going to spend more time dealing with screaming children in the heat than actually enjoying yourself :brick:
c) No one around you wants to listen to your screaming children in the heat :brick:
c) Spare yourself the trouble of having to load and unload your stuff on and off busses, trams, monorails ect... :brick:
It would be more enjoyable for everyone if your kid was around the age of 8 or so when you can have a little more control over the child, and I think the kid would be more appreciative after the trip too. Plus they will be tall enough to ride more of the rides if they are over, thus everyone in your party doesn't have to split up.