K.R.
Well truthfully Disneyland for a child that is 9 months is more for you than the kid. I would not even bother to bring your own stroller, it is pain on the tram I have done both and renting is the way to go. If you want your daughter to feel the spirit of Christmas make sure you plan your trip around the parade or even better go in the evening only so all the lights will be beautiful. Have her take a late nap and do the evening thing. As far as places to eat with lots of room the Hungry Bear restaurant in Critter country has a lot of space even on a crowed day, lots of shade as well. If you go and it is hot in Tomorowland there is that huge building that spins, great to just sit and relax and cool off!! Get her some ears with her name on it and take lots of pictures!! Do not take a massive diaper bag, scale it down. Take only what you think you may need. You will be able to take her on Small world, Nemo, The Carousel and any of the boat rides in Fantasyland. Anymore questions, just ask. I am a Disneyland expert. My last bit of advice after this trip save Disneyland for 2.5 or 3 and up, thats when they really start to enjoy it, and for only a few hours at a time.