I can speak to exactly the issue you're having, you've got a family hanging out, you don't want to be all cooped in the office.

Get a steam deck dude. Do it. I work from home, my wife does too. We have an 8 year old. Not only do I get more gaming time in with my deck than I ever could previously, they're both happier about it. I can suspend power and do whatever, etc, it isn't an anchor at a desk.

And it can play the games. Keep in mind that steam themselves is very picky about their "this is great on the deck" blessing. There's a ton of games they only say will run, and even more they say won't run at all, that operate perfectly fine. More every month too, as Proton continues development.

You can also load all your GoG and Epic games easily, heroic launcher.

Seriously, get one. The mid or basic version is fine, sd cards are fine.

@Johnpwrinkle Well worth it. It can handle quite a bit locally, and can stream from steam on your main pc (or be set up to several cloud services).

I'm going to offer an alternative.

Steam lets you streamplay games from your computer to another computer.
Your phone is a computer.

You don't like the built in controls for a phone.
You can pair xbox and ps5 controllers to androids phones with little to no effort. Not sure about other phone OS's, and quite frankly, not my bag baby.

So now you have a controller hooked up to your phone, and it's channeling games from your computer over wifi.

Never had a cause to try it personally, but I might just do that and come back to confirm it works.

Might save you a couple bucks for your kids college fund.