If your kids aren’t vaccinated, I assume they’re under 12?
If that’s the case, why worry? Under 12 poses a near zero risk. Significantly less than the Flu for that age group.
You’re vaxxed. The odds of you getting severe symptoms are 1 in 100,000. I’ll repeat that- 1 in 100,000. Meaning if everyone in the US was vaxxed and Covid infested Florida man spit in everyone’s face, only 3,300 Americans would show severe symptoms. That’s how amazing the vaccine is at keeping you immune (90% chance) or having mild to no symptoms if you are that unlucky 10% (99.99% mild or no symptoms).
Also- your kids are safe. Don’t buy into the hysteria and enjoy your trip.