We took our son a couple weeks before his second birthday on just about everything that didn't have a height requirement. He loved Dumbo/Aladdin/Triceratops spin. Fantasyland gave us the most options for him. He like Imagination at Epcot, but did not love universe of energy (he like the dinos in it, but not the rest). We found that he did not want to sit still for shows (except Philharmagic and MuppetVision). He did very well on rides, but he squirmed and wanted to run around during shows. He loves Mike, but fussed a lot during Laugh Floor when Mike wasn't on the screen. Don't try to do American Adventure, or any other show that requires being quiet/sitting still for a lon period of time. We did Baby Swap for TOT, Soarin, Splash, etc...
Unless your toddler has a specific fear (dark, fast moving things, etc...) you should be able to take him on just about everything. Do make sure that you keep plenty of sunscreen and water available. We went at the beginning of May, and our poor DS looked miserably hot most of the time. We made sure he had a sippy cup of water at all times, and tried to fill it often. If he got extremely hot (after the 3pm parade), we ran into a store and got him a bottle of cold water.
He was kind of "bad" at dinner, but he is normally very good- I think it was just that he had a lot of energy built up at that point. Normally at home, he spends his afternoons running all over the house, not in a stroller, getting out only to wait in line and ride rides.
Your little one should have a great time! Just keep in mind that it is much different touring with a toddler- you will likely not get to see or ride everything. Make sure that you plan in some down time. We didn't get started until 11 most mornings, so we didn't come back for naps, but we did stop and have ice cream or a cool snack nearly every day.