We took my daughter for the first time at 3 months and again when she was 15 months. The trip when she was 3 months was actually easier.
The Baby Care centers are essential! All of them have quiet rooms for nursing/pumping/feeding, nice changing tables, high chairs, and items for sale when you are a dummy and forget to bring a bottle with you one day. I like the Animal Kingdom one the best. It had 3 (I think) private rooms with really comfy glider chairs.
If you are flying or don't want to pack a bunch of stuff, I recommend using gardengrocer.com to have things delivered to the resort. I got the recommendation from a post on this forum, and they worked great. You can order diapers, wipes, baby food, formula, etc and they will deliver wherever you are staying. If you are staying at a WDW resort, it goes to bell services and you pick it up from there. They even have a fridge for holding items so they don't spoil. The prices were not bad, and it saved us from having to bring a suitcase full of diapers and food.
Make sure to take both a stroller and some kind of carrier. For the most part, my daughter was very happy about sleeping in the stroller. We would go back to the resort some afternoons to let her nap there, but she was good in the stroller for the most part. We have a Chicco Liteway, which I love for traveling. The back of that one lays pretty much flat, and it folds up like an umbrella stroller. The carrier is for waiting in lines. Your arms will get tired.
You can take your baby on any rides that do not have a height restriction. My daughter really liked Small World (bright colors, repetitive songs, go figure). If the ride has some kind of constraint, both you and the baby will have to fit under it. The only time this was a problem was on Toy Story Mania. You can't really do anything with a baby on your lap on that ride. Utilize the rider swap as well. For the big rides, if you talk to the attendant at the front of the line, they will give you a rider swap ticket. Part of your group can then wait in the line and go on the ride. When they get done, the other part of the group can go through the fast pass line using the rider swap ticket. Most of the time, they wouldn't give me the pass unless they actually saw the baby, so make sure she's nearby when you ask.
Both times we were there, we had the full dining plan so we did a sit down meal every day. If you make any reservations, count your child in the headcount. When she was 3 months, they let us bring the stroller inside and park it at the table. Most of the time, she just slept through our meals. The only place that we weren't allowed to bring the stroller in was the Crystal Palace. Fortuately, that was on our second trip with her, and she could sit in a high chair, so it didn't matter.
One final bit of advice, let the grandparents babysit for the night and have a night out with your husband. It's just fantastic.
Good luck with your trip! We get to try out going to WDW with a walking child in Sept
