My understanding is that the Covid vaccine suppliers have obtained indemnities against claims resulting from adverse vaccine effects, as (understandably) they don’t want to carry the can for long term side effects. If huge commercial companies can’t take this risk, ie the risk of unexpected long and medium term side effects, I’m not prepared to let my children take that risk either.
More than that- I think it would be unethical for me to give a vaccine to my children where (a) the long term effects are as yet unknown and (b) given their ages they are more likely to be struck by lightening than made seriously ill by coronavirus.
I speak as someone who has, in the past, eagerly accepted every vaccine offered to my children. As well as the usual childhood vaccines, I’ve gladly had my kids vaccinated against TB, pneumococcus, and different meningitis strains. I’ve treated vaccinations as a miracle of modern medicine. I won’t be subjecting them to the COVID vaccines though. They’re not expendable guinea pigs.