It's pretty easy to convert your TV to a PC console. Just grab a HDMI/DisplayPort cable and some USB cables for controllers. Wire your TV up, start Steam Big Picture mode, done. You now have a console with a zillion awesome games in the exact same place you had the console connected.
Here's [1] the Steam page for split screen games. Currently there are 934. Can't go wrong with Earth Defense Force! And no you don't need a "gaming PC." That term doesn't even make any sense in modern times, because if you have a computer from within the past decade or so, you can run the overwhelming majority of games with no problem. And I mean that literally - for instance GTA V requires an AMD HD 4870 card. That card was released in 2008!
Not sure if you're being snark, like referring to your office at work, but we did this and it works pretty well. We ran the cables along the edges of wall/floor using little cable clamps. They're pretty much out of sight and it works great. Depending on your house you could also run them through the walls/attic/etc. There's a lot of ways to make it work without going bachelor pad.
Do you have a smart TV or can you fit a streaming device or mini PC into your setup? If so, Steam Remote Play might fit the bill: https://store.steampowered.com/remoteplay
Steam used to sell a device called Steam Link for this very purpose, but now they just release apps for common platforms: https://en.wikipedia.org/wiki/Steam_Link
I've always been surprised by the lack of cable tracking options in home electronics stores. Some installations can be done with a drill and a box knife.
Here's [1] the Steam page for split screen games. Currently there are 934. Can't go wrong with Earth Defense Force! And no you don't need a "gaming PC." That term doesn't even make any sense in modern times, because if you have a computer from within the past decade or so, you can run the overwhelming majority of games with no problem. And I mean that literally - for instance GTA V requires an AMD HD 4870 card. That card was released in 2008!
[1] - https://store.steampowered.com/tags/en/Split%20Screen