I have only been to 2 TS for a birthday celebration, Narcoossee's and Artist Point so I don't have too much experience in this category.
One thing I can suggest is to eat at a GF restaurant. The bakery here is BY FAR superior than any other on property and they will only deliver to GF rooms and GF restaurants, you cannot pick anything up here, must be delivered.
The cake we had there was sooooo good.
This year we'll be dining at Citricos for our b-day celebration dinner.