Moving with young kiddos
Well, no direct experience because we're retired, but I'm sure posters on here will chime in and give you a ton of info. Second hand info that I have that private schools are the way to go.
There is NO individual health insurance, only group insurance though jobs or Medicare supplemental. Medical availability seems iffy. If you're insured there are private options for Drs, etc but waits for appointments can be long. Many people buy medical evacuation insurance in case you need an emergency transfer stateside.
Don't want to rain on your parade because the kids we have seen seem to love it in the islands. Outdoor weather all year, beaches, forests, critters, etc. (But watch out which critters you let them mess with.) You probably just need to plan well and have the financial resources to make it work.