I was at WDW recently, and it was so fun to see all the various baby carriers. Ergos, slings, BB, all colors-- it's kinda neat. I'd bring the stroller, too, as it can get hot and it's nice to have palce to lay a sweaty babe out, and strollers are good gear -haulers.
I cannot drink Orlando water; I absolutely hate it. I always get bottled water. In a pinch, adding lots of ice helps. Ice water isn't quite so horrible.
Disney also has organics-- yogurt, milk, Annie's Mac and some other things. Frsh fruit cups are everywhere as well. They also have GF items. They are not on the menu, but you can ask for them. Call guest services beforehand, or inquire at the hotel front desk when you get there and ask about where/how.