Do other people move abroad for similar reasons? How do they find settling in? Getting new jobs? Schools, etc?
First of all, we moved in late 2020, during the Brexit transition period, so there will be more red tape now. However, your economic circumstances sound more favourable than mine were, so maybe it's swings and roundabouts.
Similar reasons - no. The cost of private renting forced us out of the UK.
Settling in - not easy at all, but if you have no choice you just get on with it. For us, this wasn't some middle class gap year, it was real life!
Getting new jobs - I knew this would be hard, because our minuscule budget meant we had to buy in a very rural area. I did the usual crap temp jobs that immigrants do - factory work, grape picking - and I'm currently teaching English in a middle school on the French side of the Swiss border, two hours away from home. They can't get the staff because everyone wants to work in Switzerland for three times the pay, so the only English supply teachers in this particular town are foreigners who haven't got the right paperwork to take a job in Switzerland: me and two Ukrainian refugees, basically.
Middle school: DD2, aged 11 when we moved, had to be taken out of her first (rural, far right) middle school because of xenophobic bullying. The authorities were helpful and she moved to a more urban, diverse school which is better. In the first school she did at least get one to one French lessons, and she speaks fluent French with almost no accent.
High school: DD1 joined a special class for foreign pupils (all refugees and non-white, apart from her). This was a good experience and she was able to go into mainstream lower sixth the year after. Now she is in the upper sixth and today she received an offer from the Sorbonne! (I'm so proud!)