I live in the Cayman Islands OP, happy to answer any questions you have. I've been here near 13 years, moved from London as a single 28 year old!
Low crime rate, I've just this minute returned from happy hour on the beach where we took our boys after they finished snorkel camp, met friends and had a wonderful relaxed dinner. And yes, it's pretty much like this most weeks.
I work for a law firm, DH is in security. We're Covid free and our borders will open slowly from 1 September and the government are being very strict on who comes and from what countries.
Cost of living is exceptionally high here, schools are fee paying and many folk have a helper who looks after pre-school age kids or babies. But that helper (who can also clean/run errands/school runs etc) will set you back the same as a full time nursery cost in UK.
You will have a great life here if you can prove you're able to support yourself and your dependents when you arrive, and you will also need private health insurance for your entire family which runs at approximately $1000 per month.
Let me know if you have any questions, I'm happy to give a realistic view of living costs.
Just this evening as we watched our kids spend their evening playing on the beach whilst we drank cocktails, we understand they live a very privileged childhood. They don't know they're born frankly! We stay because the quality of their childhood here is the same kind of freedom I had growing up.
Life is easy, yes we work long hours in our positions, but the flip side is zero commute, safe neighborhoods, beautiful weather and a community (both expat and local) like no other.