Hi OP
Totally get what you are saying. I've done this and was very lucky as a few mums recognised that I was new the first day in the playground, scooped me up, asked me for coffee and that was it.. Although of course it takes time to make close friends, from day one I thought "Oh thank God this is going to be OK".
I think I was just very lucky that we moved into a friendly area. And that's the thing .. I would totally recommend that you try to live in an area where people come and go for work and not where everyone has lived there forever. Research that if you can. Asking on Mumsnet would be one good way of checking that out. It makes a big big difference.
And also I think visiting schools, and not just going by Ofsted reports, is very useful. Not sure whether Covid has affected the ability to do this this though. I got such a good feeling about our new primary school during the visit and it was a big part of my life in the early years .. PA, helping with listening to reading etc.
I was also lucky as I went on to have another baby after the move and that led to meeting lots of people, but a 2-year-old is just as good for that! The local NCT coffee mornings were great and I ended up being the local contact so I got phone numbers of new mums in the area and would call round to invite them to come along. I made some lovely friends through that. Of course, Covid will have temporarily changed things but hopefuly it won't be too long before life is more normal.
Having said all that, I'm going to be honest and admit that the first few months felt lonely at times. Next time I moved I was more ready for that and knew I just had to get through it and not be too downhearted. It wouldn't phase me to do it again if I had to now the kids have grown up.
You are definitely making the move at the right stage in your family life. Do you want to tell us roughly where you are moving to?
Good luck!