There are several problems here.
First, as India and Nepal prove, we need the fuck get going on vaccinations outside of the US and Europe.
Second, we will need to get most adults and many children vaccinated.
Third (in possible slight disagreement to @DukeTrout), we can’t do both at the same time.
So, we have to balance it.
Fact is: kids don’t die of Covid-19, mostly.
Also, it seems that kids didn’t catch the older strains as frequently as adults (or: > 14y olds).
Also, it seems  that kids don’t spread it as much to adults even considering the increase in infectiousity of the B.117 and similar variants.
So, the idea would be: get the adults vaccinated WORLDWIDE ASAP, AND try to build new capacity to manufacture more doses. Start vaccinating kids, but by all means just start with it when we get enough vaccine to have enough for the world’s poorest.
Meanwhile, get your kids to wear mask in class, give them air filtration, etc., WITHOUT ruining their childhood. (Don’t get me started on the assholes who oppose masks for kids on principles and bogous health claims…)
Also, protect the kids by wearing a mask, distance yourself as much as you can in your other parts of life, and don’t place additional burdens on the kids.