If you want to (need to) build something for your kids, go for it.
My Wife, I, and another SH poster STP ran a pretty successful Youth Marksmanship Program for several years using borrowed, donated, and personal 22LR bolt action rifles. Very basic rifles, the kind many or most of us learned on ourselves. For example, five of our shooters achieved NRA Rimfire Distinguished Expert ranking using this rifle, or an earlier version of it:
Savage Mark II F
I understand the desire to get, trade, build the best, and where our kids are concerned, that goes double. But it's overkill, and can often lead to complexities that distract the learner from the primary task.
There's nothing at all about the marksmanship basics than can't be taught with this sort of rifle with
a simple optic mounted.
I have also built a majorly upgraded 10/22, and it shoots knotholes. It's one of my favorite 22's, but not the one I'd put in the hands of a rank newbie. In the beginning, simpler is better, and simplest is best. Big money has little place the process; the best place to put it is into some decent standard velocity .22LR ammunition, and lots of it.
We fed the program rifles
CCI Standard Velocity.
When the youngsters have the skills needed to employ the more complex rifles, get that rifle then, not at the very start. The kids are not there to win rimfire matches, they are there to learn the rock bottom basics that deliver match winners.
KISS
Greg