Hi Charlotte! I love taking my two grandsons to Walt Disney World because every restaurant is a great place for them to be!!!!!!
I would definitely select a character dining experience for your two year old while you are there. Some of my favorites for that age are: Tusker House Donald's Safari Breakfast, Chef Mickey 's at the Contemporary resort, and Crystal Palace in the Magic Kingdom with Pooh and friends.
Other table service suggestions park by park are as follows:
Magic Kingdom: Liberty Tree Tavern and Tony's Town Square
Hollywood Studios: 50's Primetime Cafe and Sci Fi Dine-In Theater
Animal Kingdom: Tusker House
EPCOT: Germany's Biergarten
Each park has many wonderful quick service places as well.
There are also numerous resort dining choices for you to look at. Please refer to
www.disneyworld.com and review these here. With the exception of Victoria and Alberts in the Grand Floridian you will find any Disney restaurant capable and ready to handle a two year old!