We moved abroad just before eldest DC started proper school, and back a few years after the youngest left for university. (For which they all chose to go to UK.) We'd always had itchy feet, had lived abroad before (different continents), but came back to UK to begin procreating (thanks, NHS!). We would have kept moving, too, except that once DC started proper school we allowed them a vote; they always simply wanted to stay in the same place, so we did that.
(My and partner's feet, not so itchy now, in fact. We like where we live and very rarely go abroad except to visit family. Age, I suppose.)
Turned out fine for us and for DC. They have an internationalist outlook; speak different languages; have good qualifications and now decent and interesting careers; variously settled in UK and elsewhere; friends around the world; partnered-up variously with British/foreigners; are confident in choosing their own lives and styles. (Some are raising their children monoglot, British-style, others making shift to raise bilingual children. Which is better? Their decision, anyway.)
Partner and I more-or-less retired to UK. Enjoy life here now, whilst missing some aspects of where we spent the majority of our working lives. There were many advantages to living where we did, and we'd make the same choices again.
However, DC have, at various times, felt a bit rootless. They didn't share much general culture etc. (childhood TV shows!, fashions ...), with their friends/peers at uni, for instance, which they found tricky in certain ways. 'We're anglophone British but we don't think the way British people do,' one of my DC expressed it, 'People expect us to know all about things we've never heard of.' Neither British nor non-British, the expat condition -- sometimes this falling-between-two-stools aspect of it all was uncomfortable for them as they grew up. Perhaps still? I'm not sure. They seem fine now.
DC did miss the extended family, it's true ... but really I think that would have been the same even if we'd just moved to another part of UK. And anyway, like many of our cohort (footloose baby-boomers), partner and I were from different parts of the country, so at best we could have lived near half the extended family, supposing we'd wanted to.
Of course our expat experiences were different from others of our friends. (We have lots of friends/acquaintances all round the world as a result of our wanderings.) Much depends on where you go - Australia is a very different place from East Africa, neither is like continental Europe or Scandinavia or USA ... But all-in-all, I reckon our lives and the lives of our children went better for our indulging our itchy feet the way we did.
You might be the same. Or it might work out differently or worse for you. And the world is different now in so many ways. But it might be useful to read what, on reflection, turns out to be an overwhelmingly positive view on moving abroad with children. It certainly can work out very well -- I know because it did for us.