No pram? Mwahahaha.... Yeah right. I had spd so badly I can still not use a sling. The baby was born into a Swedish winter where it was regularly-30 in the day. It's probably fine to use a sling if you're in London based type who never has to negotiate anything more challenging than an uneven pavement but if you need several layers of wool and furs in the pram to survive being outdoors and are walking on several feet of accumulated snow/sheet ice then a nice sling isn't going to cut it. You need a pram. A hardcore pram.
We did use the changing table. I can't bend over to change him. And he does have the habit of sending up a spray that would shame old faithful. the bed is rather less wipe clean than the laundry floor.
Baby bath - yeah we used this too. Still do. Full and placed on laundry counter so baby is at correct height
Mitts and booties - see above comment about it being -30 out. Probably fine to avoid them in nipping out for a latte in Finchley but here you need them. Two friends kids got frostbite this year.
Nappy bin - well we live in a house so can put them out right away. If I still lived on the fifth floor of an Edinburgh tenement then yes, I'd have a bin.
Wet wipes are a godsend.
Now the bumbo. That was useless.