Amy and Diana,
You will have a great time! The youngest I've taken were DD 8 months and DS 10 months (different trips LOL they are 17 months apart). It really is easy to take a babies to Disney. They stay in their strollers and in snugglis/slings/Baby Bjorns easily throughout the parks.
And, they ride almost all the rides. Like everyone said, not the biggies with height restricitons, but everything else is ok -- and they aren't afraid of things like the Haunted Mansion! They just think it's a nice slow moving ride with music.
I didn't like some of the high frides,though, even though the babies were allowed (Dumbo, Astro Orbiter). But everything else was fine! (Buzz, Pirates, Jungle Cruise, Movie Ride, Winnie the Pooh, Safari, all of them, you just hold you sweet pea and enjoy the ride. The shows, too!)
If they are nursing, that's super easy. If they are taking a bottle, then you plan best you can -- and rest easy knowing you buy anything you need at the Baby Centers in each park very easily! I believe they carry diapers, wipes, pacifiers, formula, bottles, jars of baby food. It's awesome knowing if you forget someting, you can get it easily!
ANd don't worry about cancelling the character meals. My little ones were fascinated by the characters,not scared, and I got great pictures! Some of them will even sit on the ground to hold your tiny tots. It's less scary at the meals because it seems calmer than in a crowd in the parks. You can also wave the character by if your baby is upset. They are great about that! They don't want to make anyone cry.
Disney is the best there is when it comes to traveling with kids -- fun for all ages and super smooth sailing! And just wait until you go when your wee ones are between 18 - 36 months! Now, that's Disney magic. On our first trip with kids my oldes DD was 19 months and I was 5 months pregnant with my next DD. She was in awe of everything. We had a blast. And I remember saying to my DH, "You think Disney is cool when you go as a kid, but that's nothing to how great it is to go as a parent -- and watching your kid enjoy the magic!!"
Enjoy!!
My next trip in December, my three will be DD 6, DD 4, DS 2. Can't wait!!