You should absolutely continue to protect your kids from screens (and I think some kind of active role is a good thing), but as someone who was raised in a very restrictive household: be careful not too go too far the other way. For example, I was not allowed a mobile phone until I was 16 years old, and this was incredibly socially isolating and made it hard for me to participate in the shared social life of my peer group.
My suggestion would be to listen to your kid when they inevitably ask for access to these things, and while you should acquiesce every request, you shouldn't dismiss them out of hand either, and should take their reasoning into account.
