I was after something like this a few months ago. So here's what I've learnt since then. My DS (#1) is only 6 weeks old, so my views may change. But so far:
Baby Björn carrier is DH's favorite. I haven't tried it yet, because I'm happily using our Babylonia Tricot Slen. Lifesaver when nothing else will calm him, and I can get stuff done at the same time.
Our washing machine's in the bathroom, so we have a change station on top of it. We have a Korbell nappy bin which is great, doesn't smell at all. It's some distance to the bins in our apartment block, so I wouldn't want to have to go all the way there every change! .
We have loads of Muslims, and use them and a pile of cheap IKEA facecloths. DS is currently spitting up all over the place, so we go through several every feed. As we don't wash every day, we need the large stack. Also work as sunshades, and DS seems to like playing with them.
We don't have a Moses basket, DS slept for the first few weeks crosswise in his cot, with the bumper set across halfway to make it cosier. He's already too tall, so is now right way round. The first few weeks we had him in a swaddle wrap, now he sleeps in gro-bags. NOTE: check the temp of your room! We bought a bunch of 2togs, that we can't use as our apartment is always over 20 degrees, with central heating throughout the apartment building, we can't chill the bedroom unless we open the window all night, which we don't do (ground floor, doesn't feel safe). Had to buy 1 tog instead.
We've had a bit of a BF nightmare. I didn't buy a pump, but after hospitalization for mastitis, we hired one. I like having the quality of the hospital grade, and it's not that expensive. Might have to invest when I go back to work.
We sterilize once a day by boiling everything in a big saucepan. Still working on the limescale issue- tried a little vinegar in the water yesterday and there's no smell afterwards. Will have to see if it actually works to keep down the buildup - the saucepan was clear, can't really tell on the bottles etc from one time.
We've been given a Baby Björn bouncy seat. DS likes it, and it's good to sit him in while we do stuff. He's now wanting to sit up and look around more.
We went to great lengths to get a glider chair, which happens to have a footstool (not available in Sweden and shipping was ridiculously expensive, had to buy in the UK, pick up when we were there and ship back with us as excess baggage on our flight...). Started out using it all the time, then moved to sofa for a couple of weeks when he kept kicking the arms and BF was going pear shaped. Have just moved back. Loved it at the end of pregnancy, and appreciate the back support when BF.
MIL bought us our pram, we have a Teutonia Cosmo w fashion carry cot, and we're loving it. Turns so easily, one handed, great for tight corners and in the shops. With 4 wheels, I can tip it on two to get up and down steps etc, and it's short which is fab for the buses here. Can lift out the bassinet section when visiting places. We've also bought the adaptor so our car seat fits the frame. DS nearly always falls asleep after a block or two, so there've been a few late night strolls...
We also love our POP blankets, stylish and practical. Warm and good size to work everywhere - cot, pram, bouncer etc, and were ideal for swaddling first few weeks.
We don't own and so far have managed just fine without:
Baby monitor (live in a small flat)
Top and tail bowl (change station right next to sink)
Moses basket
Baby bath- but we might still invest. So far he's only bathed at the same time as DH.
Sterilizer