My kids love their screens. They use it for "productive" things (Minecraft, ...) and "unproductive" (shorts, ...). We have certain time restrictions and there are two days a week where they're not allowed to use them. We also don't let them take screens to restaurants. They get to take a bunch of crayons and a book and they're very much fine with this.

I feel that it's a matter of sticking to principles and being predictable for the kids, but maybe I'm biased and just have "easy" kids.