Comment by coldpie
I don't have kids, so I can't 100% relate, but have you dug into the notifications settings on your phone? They're extremely flexible. I've set mine up so any non-chat notification gets batched into a group that shows at 5 AM and 5 PM. This lets me check on whatever happened the previous evening while I'm having breakfast, and whatever happened during the day after I get home from work. Once I've flipped through all the notifications and done whatever other time wasting things, it goes back in my pocket and largely does not disturb me for another 12 hours.
Maybe something like that could work. If you find there are notifications that are disturbing you, but they really could have waited until the evening, toss 'em in the batch bucket. Eventually you'll tune out all the low-importance stuff and get your life back. Or find some other cadence that works for you. It takes some effort to tune these systems, but I think it's worth it.
I'm surprised that no one else I know uses this feature. It's helped me a lot.