Okay, after my first infant, I was VERY concerned about how much extra work it was to travel with a baby and wanted everything to be perfect. With my second kid now, I've gotten a lot more laissez-faire about the needs of babies, so take my advice (and all advice for that matter) with a grain of salt. What works for your family might not be what works for every family, so if going your own route feels right, it probably is right! But alas, you've asked for advice so here goes.
Resorts:
We've stayed non-
DVC with a baby at Beach Club and Port Orleans French Quarter, and DVC at Copper Creek (2 bedroom, 1 bedroom, and cabin) and Animal Kingdom Kidani Village (2 bed). Taking our kids to Grand Californian (2 bed) in a couple weeks as well. They're all good. Disney has the same cribs and playpens available at all the resorts, and there's plenty of room for them in any of the resorts. If bed-sharing works better for your kiddo (it did with my first but definitely not my second), Disney has bed rails available at all resorts. Laundry in-room at a one or two bedroom is great, but if you're staying studio or non-DVC, the laundry rooms are great. Usually you can use an app or website that tells you when your machine is ready, and the rooms are open all night. Oh, and bring a white noise machine!! You'll probably already have one near your baby's sleep space at home, so just get a second for travel or pack that one, and plan to use it in the room.
Transportation:
Unless you're getting a seat for your infant on the airplane, it doesn't make a lot of sense to travel with a car seat. Public transportation like the boats and buses doesn't require car seats, and the Minnie vans have reliable car seats in good shape whenever you need a direct ride somewhere. In the parks, think about how you want to carry your baby around. I'm a huge fan of baby wearing and use a Tula soft buckle carrier on a daily basis, so that's how I carry my babies around the parks. If you would prefer to push your baby in a stroller, rent one from an outside vendor (they are all fine! Don't stress over the minute differences in ratings!) but keep in mind that a good amount of the time you will need to park the stroller and somehow carry your baby and all of your things. Disney is NOT the time to experiment with baby wearing for the first time unless you want a very sore back and a very grumpy baby. So if baby wearing is at all a part of your baby carrying plan, start long before you head to the parks and if possible, connect with a local baby wearing organization that can help you choose a carrier and show you how to properly secure your baby in it. Baby wearing also means you don't feel stuck when your baby falls asleep and you were about to get in line for a ride or onto the bus or wherever else you can't leave them in the stroller.
Feeding:
If you breastfeed, great, you can pop some milk in your baby anytime anywhere, like in line or even on a ride or during a show. If you bottle feed, you can also feed baby anytime, you'll just need to put a little more planning into traveling with milk supplies. If your baby is over 6 months and starting solids, I like to bring a "restaurant kit" in my baby bag with a sectioned feeding mat (like the EZPZ), a handful of baby spoons, and a long sleeved apron. Your baby can eat all they want for free from buffets until age 3 (very convenient), and other restaurants are fine with you sharing food from your own plate or you can order baby a side dish or ask for them to bring out something simple like rice or yogurt or sliced veggies or whatever (they often won't charge you for this)
Mobile babies:
Okay, one of the only tricky things about Disney with a baby between around 4 months and 18 months ish is that your baby is going to want floor time to scoot around and play without being held, but there are not many safe places to do this! Baby care centers kind of help with this but sometimes they can be packed, so also plan on stops for "down" time at relaxation areas, or my favorite tip, go to the lobby of any of the resorts. Baby crying at Epcot? Walk out the back and let your baby crawl around the Beach Club lobby, or just put them in the sand for a while. Etc. You'll be a pro at finding safe ground for your baby by the end of this first trip, but it'll probably be scary at first.
Overall:
In the entire realm of places you could take your baby, Disney World is one of the absolute easiest places to do so. Plan the trip YOU want and your baby will happily fit in to it. And if you forget something, it's Disney, not Mars. There's grocery stores, and Target, and
Amazon prime, and concierge service at your resort. I know the urge to have everything figured out ahead of times is so strong (especially with a first baby), but you also don't know your own baby's temperament yet. So try to leave space for the unknown and trust that it's going to be easier than you think.
Sending you the best wishes on the birth of your little one!!