My experience with 22lr revolvers has been that unless you spend a lot of money, they are generally inaccurate. The Ruger single six has absurd barrel specs, because it's designed not to be target accurate, but, to be a 22 mag/22lr convertible. The joy of 22lr is hitting what you aim at, and, small groups. I find it hard to find a 22lr revolver that doesn't cost a LOT of money, that is accurate enough to keep me happy.
Semi-auto 22lrs on the otherhand, can be setup with target triggers, and, be very accurate, for less money.
As for kids with them, that's going to be your choice, since you know your kids.
Rifles are a great idea, and, a bolt action CZ 452, some of the Russian target 22lr rifles, savages, can all be had for around 300 or less.
I can't say how disheartening it is when I bought a S&@ 63, and, it shot very poorly. My Colt Trooper Mark III was a bit better, but, still not what I wanted. Something about with a great trigger, a revolver should shoot one hole at 15-25 yards, in 22lr....