I've LOTS of experience with babies inc my own dd
Also lots of experience with smaller homes!
What you don't need at all:
Baby bath (we bathed baby in sink then in bath with use and then when she could sit one of these:
https://www.amazon.co.uk/Safety-1st-Swivel-Bath-Primary/dp/B00CMR3H0O/ref=ascdff_B00CMR3H0O/?tag=googshopuk-21&linkCode=df0&hvadid=309877365819&hvpos=&hvnetw=g&hvrand=13857679884006978724&hvpone=&hvptwo=&hvqmt=&hvdev=m&hvdvcmdl=&hvlocint=&hvlocphy=1007340&hvtargid=pla-487243015096&psc=1&th=1&psc=1)
Changing table (not only unnecessary bloody awkward!) I find it much easier to change babies on my lap or sofa or bed (with a changing mat in place) you get more practiced the more nappies you change I can change nappies with one hand without looking now! The suggestion of a caddy for supplies is excellent just take the caddy with you wherever you need it. Wedge design changing mats prevent spillage from accidents!
Travel system - these were still a novelty when I had dd and we did get one - total waste of money! The cheap umbrella buggy we bought for a beach holiday thinking we'd wreck it and toss it was actually the one we used the most! Dd was in it until around age 4 (unbeknown to me at the time she has a disability which fatigues her muscles and she still couldn't walk far at this point and was too big for me to carry, I was a single mum by this point too)
Changing bag - I used a rucksack and put a foldable changing mat and the other supplies inside that - top tip replace supplies that night after a trip out so next trip you don't get caught out!
Monitor - unless you live in a mansion or there are particular health concerns waste of money! We always heard dd whenever she even slightly roused and we were in a house
Sling - we got a well rated baby bjorn one? Hardly used it! Partly due to dds length (I'm only 5'2") but some love them
Moses basket - we were kindly given one but dd tall so she wasn't in it long! And she mostly co-slept anyway for first 6 months
What you don't need until later:
High chair (you can get things that are strapped to ordinary dining chairs or can even be positioned on sofas, my own dd was fine being fed in bouncy chair initially)
Most toys
Clothing storage - we knew we'd be moving when dd still tiny (ex was army and we knew we had a move upcoming) so we just used our suitcases!
Things we found essential :
Bouncy chair - she LOVED being in it! Ours had good thick handles so easy to keep her content and move her room to room and she was safe. I used to have her in the bouncy chair on the landing (not near stairs plus stair gate anyway) with bathroom door open while I had a shower and I'd play peek a boo with the shower curtain!
Dummies - I know these are controversial but we simply hadn't thought to buy any, dd had them while in hospital and the 1st night home without was murder! (No 24 hour supermarkets then) we bought about 20 the following day! 
Hooded towels - just made it much easier to wrap and warm wriggly baby after bath and also after swimming sessions later, I used them for her until she hit school age! She loved them too would have carried on if I coulda found bigger ones
Muslins! - she's 20 now and I still have the odd one floating about! They're SO useful for many many things
Thermometer - provide reassurance more than anything most of the time
I bf from the start but had to change to ff when my milk dried on me! Each to their own but on ff I would say do not buy LOADS of the same bottles/teats and even formula as you don't know yet babies needs/preferences
My dd we went through 8 types of bottles 6 teats and 4 formulas until we found the right combo for her! This is not uncommon especially if you have a colicky/sicky baby or allergies to contend with