It's not the best way to do so, I notice that there's usually some latency when using Steam Link even over LAN. I prefer using Moonlight + Sunshine as that seems to do a better job of minimizing latency, same with Nvidia Stream.
If you're not that tech-savvy then yeah Steam Link will probably be your best bet.
Since you're using a laptop and TV why not just use an HDMI cord to connect the laptop and TV and connect whatever peripheral direct to your laptop?