Target and baby's r us and every other store in the world will be open and around after the baby is born, you don't need to overload on things in the beginning. Trust me on this! You'll find products and things that you/your baby loves, so sometimes it's better not to be stocked to the brim and wind up not using half of it
Essentials (for me at least) for the first three months:
Nursing tanks (glamourmom xtra long) were my go-to's. I also wore a lot of those dresses that are stretchy elastic on top, strapless, and kind of flowy. Super forgiving, super easy to breastfeed in, super comfortable, pretty cheap, and just one piece. I would throw on a jean jacket and actually look cute or at least decently pulled together
Moby wrap or similar for babywearing. This was my go to for getting baby to sleep. I would wear it around the house and be able to do at least a tiny bit of housework, and she would fall asleep. Keep trying if baby fights it at first, doesn't work every time for every baby, but most like it
Long baby gowns for sleeping, 3 or so, and a few one piece cotton rompers. I went overboard with fancy outfits and they are ridiculous. Baby hates them and they look cuter on the hanger than on the baby. A package of 0-3 white onesies and maybe a pair or two of cotton pants. No jeans, uncomfortable and silly.
Boppy or My breast friend pillow. Must have. Awesome for bf'ing, but daddy used this a lot too while holding baby. Some lanolin cream for dry/cracked nipples. The number of a lactation consultant/la leche league leader, just in case you have bf'ing trouble like I did
A nursing cover was helpful for me when i was getting the hang of nursing in public
Obv. diapers/wipes. We put a diaper changing pad on top of a dresser instead of buying a changing table and it has worked beautifully for us. Two covers for the changing pad
We used a package of prefold cloth diapers as burp cloths and all around clean up
Somewhere for baby to sleep. Moses basket, bassinet, crib, or something. We ended up co-sleeping, so you might want to hold off on any big purchases before your baby gets here. A moses basket by your bed will be fine for the first few months
I never used a breast pump, ever, so i'm glad I never purchased one. you can rent from the hospital if you need it, so I would maybe hold off on that purchase until you know if you'll need one.
I would focus on your needs for the first three months, which are honestly quite minimal. I wish I had done that the first time around. You live and learn