"BRB Cat on Fire" is my go-to excuse

Also, as far as playing while looking after kids:

I have a two year old son, the wife and I both play. He naps for 2 hours in the afternoon, so we alot 1 hour to play XIV in case he wakes up early. He sleeps solidly through the night, so from 8pm we can play as much as we want. On the very rare occasion he wakes himself up, one of us AFKs for the 2 minutes it takes to calm him down and put him back to sleep.

I agree you shouldn't be playing while your child is awake/needs attention until they are old enough to look after themselves (23 years old maybe?) but having children doesn't stop you playing altogether.

(There was one awkward Titan run where he'd woken up early and refused to be held by his mum, only me. Managed to heal through Titan without getting hit with a toddler on one arm, felt pretty leet that day.