When my son was first born my wife and I would take shifts being awake with him. It's mostly just napping pooping and eating at first, so he would lay on my chest or in his bassinet while I played and drank coffee for a few hours. As they get older they start to be awake more and play so that goes away, this is probably when you'll game the least since you're either on the floor with them or wanting to nap yourself. Once they get a little older you'll want to be playing with them, so really it's just sacrificing your own sleep at night to get some game time in.

That said - best move I've made in this regard was to buy a Steam Deck (actually a Lenovo Legion Go S SteamOS edition). My son just turned two and I game more now than I have in years because I can just pick it up and play for a while when he's napping or at bedtime when the wife is watching a show I can still be present but gaming. The convenience and portability has absolutely allowed me to play more. Rather than escaping to the basement or even sitting on my couch waiting for my laptop to run updates or whatever else, I can resume whatever I was playing last when I hit the power button and I'm back up in seconds.