Don't worry about the baby centers if you're too far away. I was there in May with my 12 month old and I had no problem nursing him all over the place. We never hiked back to the baby care centers, since there were plenty of nice benches, quiet shows and rides, etc. Nobody even paid any attention to us. WDW is very breastfeeding friendly. By the way, I don't cover up with a blanket or anything when I nurse. As far as I can tell, that just draws more attention. Besides, I know I wouldn't want a blanket over my head in the Florida heat! When DS is latched on you can't see anything at all but the back of his head and I've had lots of people stop and say something about what a sweet baby he is, just thinking he was asleep and never knowing he was nursing.
Have fun! We're headed back in December and my little guy will be 19 months old at the time, and, more than likely, we'll be nursing "around the world" again.
