Both my dc used to drift off if I very gently stroked from their forehead down their nose as I was cuddling them or as they were lying in their cot.
When ds2 was tiny he really didn’t like being put down in his Moses basket. A couple of things helped - warming where we were going to put him so it wasn’t a sudden change to somewhere cold (just putting a hot water bottle in for a couple of minutes to make it warm rather than hot) and rolling up hand towels to put along his sides so there was a feeling for him of something touching him down his sides - again warmed by the hot water bottle.
The most useful thing I owned when ds1 was ltiny was a packet of old fashioned terry towelling nappies which were perfect for doing this as well as acting as big fluffy absorbent muslins - which I also had. I ended up getting a second packet when I had ds2 as they got so much use. The only thing they never got used for was as a cloth nappy! ( and my dc are now at senior school - stroking down the nose still comforts them if poorly or tired and the towelling nappies are still much used - hair towels, covering the steering wheel in the car in the summer when the car is parked so it doesn’t become boiling hot, mopping up sick, and so much more!).
I used white noise on the radio rather than the hoover - not quite as loud!
If they were crying,making the same noise back at them, matching pitch and timing as much as possible and once they realised that you were doing it, slowly taking over so that you are the one that initiates the noise a moment before they are about to and slowly get quieter and shorter in the noises and they sort of follow you and the crying calms down.
A dummy. I swore I wasn’t going to but did for ds1 - it really worked for him. Ds2 couldn’t stand it. But the last research I saw on them was that if your dc like them then it’s fine to use so long as you continue to do so for the first 6 months, can even reduce risk of cot death. Just don’t introduce, get them used to it and remove after a month or two. (But trying a few times, it not working/ being ignoried is fine, don’t bother with it).
If you think there might be wind think about the practicalities and physics of moving a bubble of gas through a baby’s gut - oven that has tends to want to go up naturally. So rather than keeping them in one position very gently move their bodies a bit from side to side and up and down to help get the bubble moving... try to keep their top half still and upright though - again it’s all gentle as too much and everything will be vomited out.