I had a carrycot that fitted onto the same wheeled base that the pushchair seat fitted when baby was bigger. Never had a moses basket, I think the cats would have loved one though. The carrycot was the perfect indoor bed until big enough to go in the cot - and I used to put the carrycot in the cot anyway, so the location looked the same and the transition was easy. My mother did get a swinging crib for my second, which was cute but completely unnecessary.
Never had a baby bath, the tot was bathed in the kitchen sink or came in the bath with me after about 6 weeks old, topped and tailed on days when I didn't have a bath. I didn't have a breast pump, just expressed by hand when necessary. Didn't get a steriliser, I was lucky with breastfeeding and on the rare occasion that a bottle was left for the babysitter, I just boiled the paraphernalia. Didn't have dummies, no criticism implied to those that do, mine all happily sucked their hands.
Essentials for me: a sling, I used to 'wear' the baby indoors as well as out dog-walking. Muslins, lots. Ditto breast pads and Kamillosan. Cotton wool and water instead of wipes. Gowns for the first weeks, easier than babygros for nappy changing with minimal disturbance. Bouncy chair so baby can see a bit of what's going on. Baby monitor with a receiver that I could hook to my belt if I went out to the garden. Now, I'd include a car seat that swivels to face the car door as essential, they weren't an option when mine were babies.
You're bound to be given loads of clothes and toys so just buy basics to tide you over the first weeks, you can't always plan a wardrobe if baby is bigger or smaller than 'average'! Have fun shopping, and enjoy the wait!