Easier? I can't think of anything easier than that.
Better? Yes, but slightly more complicate (and relatively expensive)
Provided it would work with non-steam games, you could use Steam's Home Streaming with a weak laptop/mini-pc, the main gaming rig and a powerline adapter.
By setting yourself up like that, you would essentially be able to play any game anywhere in your home, and you wouldn't have issues with peripherals in general. I didn't test it, but if you wanted to take things further, I suppose it'd be possible to "fake" an home network with a VPN, thus making you able to play from anywhere you want with Internet connectivity.
Essentially, the powerline adapters (they come in pairs) will allow you to use an ethernet cable connection over the electrical line. You could connect one close to your home router, and the other one anywhere else in your house. The laptop would then be connected by cable both to the Internet (by the powerline adapters and thus enabling game streaming) and the TV (by the HDMI-out port), saving you the harassment of dealing with meters and meters of cables and letting you play on anything featuring an HDMI-in port.
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