I made nursery appointments at both John Lewis and Mamas & Papas so I could see what they recommend buying before baby is born. We then cut down the list and focused on the essentials. I am due this week and have bought:
Cotton wool
2 packs newborn nappies (will then switch to cloth)
Newborn cloth nappies
Baby grows and vests in newborn and 0-3 months
Scratch mittens and hats (just a couple of each)
Crib + bedding + blankets
Carseat
Pram
Muslins
Breast pump
Bottles & steriliser
Changing mat and table
One thing we have got is Amazon Prime membership so that we can get things delivered the next day if the situation arises where we want something quickly after baby is born. We decided this was a better investment than buying lots of things we don't necessarily end up using. They also offer lots of discounts on Amazon Family for Prime members as well as discounts on nappy subscription (for those using disposables) which has already saved us money on quite a few things already.
I haven't bought any toys yet as I know lots of people will bring them as gifts. Likewise with baby outfits so we have just bought the essential baby grows. Family have already said they want to buy us a bouncer and playmat and they will get that once baby is here - we were told baby doesn't use either in the first month.
We have been told not to bathe baby in first week. After this, should only bathe in warm water with no soap. We plan to use our sink so will see how that goes. If it is difficult, we have our eye on a couple of baby baths we can buy but will only get if needed.
I will take baby to sling library when I am ready and try a few out before investing in one as they are so expensive and don't want to end up with one baby hates being in!
I would recommend having a look at the big items such as pram, carseat, nursery furniture (if applicable) and deciding what you would prefer. Then keep an eye out for offers on them. We got our pram at half price because the colour was being discontinued (still a current model though). We also got good savings on our crib with Boots vouchers and points offers they were doing at the time.