Just chiming in here with a quick stroller thought - you'd be better served buying a stroller elsewhere than the Disney parks. The ones there for sale have very little shade and are pretty pricey for what you need with a good Florida stroller. Pick up a Zobo from Babies r Us if you want cheap, easy and lots of shade for a little head in hot sunny FL. I found from lots of research that those or the Summer strollers are the best price/shade strollers.
Also, check the "Disney for Families" board for stroller help!