Hi Kate! Thanks so much for sharing all of your questions with the Disney Parks Moms Panel! I see you are arriving in late November. It's such a magical time to visit Walt Disney World Resort. You will be in awe of all of the holiday decorations. You are going to have so many amazing photo opportunities. We have created countless Christmas cards from our late November/early December visits to Walt Disney World Resort.
I confirmed with a Cast Member that there is not a posted maximum age for the
Baby Care Centers and at two and a half, your little will be perfectly fine to use them. Our kiddos are two years apart. When they were younger, I believe we used the Baby Care Centers until my youngest was 3-4 making our oldest 5-6. While neither necessarily needed the changing station or feeding areas, it was nice to have access to kid size potties and an area to rest for a few minutes. There is a main area with a TV and it was the perfect spot for my older kiddo while we fed or changed my son.
If you haven't already done so, you might check each of the theme park maps so you know exactly where the Baby Care Centers are located if you need to get to them quickly.
Aside from being a great help with the changing tables, kitchen area and feeding room, the Baby Care Centers were invaluable to us on more than one occasion when we accidentally left some needed items in our Resort hotel room. I have no idea how we left our room without diapers but we did and Disney saved the day.
Thank you again for your question and please let us know if you need any further information as you plan your magical Disney vacation.
Kari