Hi Katherine,
I have great news for you as you are indeed able to search for attractions based upon age on the Walt Disney World website.
If you click
HERE, you are able to filter attractions by park, type, recommended ages, height & features.
There are many fun things for you and your 2-year-old daughter to do together. Fantasyland in the Magic Kingdom is a particularly good area for small children which includes attractions such as Dumbo The Flying Elephant, It's A Small World and the Many Adventures of Winnie the Pooh.
I think that you have also heard about
Chef Mickey's which is a restaurant located at Disney's Contemporary Resort. This is a buffet restaurant where you are visited at your table by Mickey Mouse and his pals as you dine. Character meals are indeed a lot of fun but are also very popular so I would highly recommend that you make an advanced dining reservation if this is something which you would like to do during your trip. Dining reservations can be made up to 180 days in advance.
Wishing you a magical trip!