I went shopping for stuff at 35 weeks (I'd ordered it all online, just went and picked it up at various shops), sorted all the hand-me-downs I'd been given, washed it etc at around the same time. Only had 15 x vests, 10 x white babygros, 10 x coloured babygros, couple of little hoodies, a star-fleece thing, a hand breast pump, a couple of little hats, a sling, a blanket, a sleepyhead, 4 gro-swaddles, a gro-egg, a changing mat and a bedside cot with some little cot sheets for sleepyhead to go on. Car seat was borrowed between his babies from my brother. Put it all into a chest of drawers on the landing (our house was a building site). I put together the bedside cot at around 39 weeks when I went on mat leave and put it in the spare room.
I didn't move anything in to our bedroom/get changing mat out of its bag/set up the sleepyhead or anything until we were home from hospital. My in-laws were annoyingly waiting for us to get home, so we left child downstairs with them and went up to get things sorted. They had cooked dinner for us, so I put on my sling, went down and put child in to it, ate some dinner, drank a weak G&T then went to bed with baby. I didn't buy any formula or anything, since intended to try breastfeeding - I'd taken photos of the supermarket aisle and products I wanted, so I could give those to someone else to head out for emergency formula if needed. I had a hand pump, but didn't use that for a little while.
We sorted out her bedroom, including buying a big cot etc, when she was around 8 months old and moved into her own room. We co-slept until then. I also never really used a buggy - we bought one a couple of months in, but because of where we live, I couldn't use one easily, so carried her pretty much the whole time (right up until she was 3, at which point... walks).
I think if I was doing it again I'd do the same - we've sold all our stuff, since I'm too old/menopausal for more, but I'd only need one evening online and a day to collect stuff again.