You probably don’t need a second router, you should be able to connect your VR headset directly to your PC. You would probably need to configure your PC either to bridge the LAN network with the WLAN network, or to enable an DHCP server on your PC.

First of all, use a private IP subnet. 192.169.0.0/24 is not an example. (192.168.169.0/24 is.) Besides, make sure you leave the default gateway field empty for the NIC that connects to the "VR router".

The issue I'm running into is that I think I have to make sure the two routers have different IP addresses The routers must have IP addresses which belongs to different subnets.

"connect another router to the PC is so that I can connect the computer and a VR headset with as low latency as possible" - this won't help with latency and will probably not work at all. You should work on getting the computer's connection to the modem to be as fast as possible, and certainly not through Wi-fi. And also speed up the connected hardware such as your mouse.

@harrymc As I understand it, the OP needs low latency between the PC and the VR headset, not low latency to the internet.

@user2233709: The OP does mention a router, but your understanding is as valid as mine.

Get your PC cabled to your router - It will solve all the issues you are having. - Wifi when gaming loves latency, and will give you plenty!

Thanks for all the answers! Some clarification: I want to connect the VR headset using Wi-fi, to have it cable free. Other than that I want everything cabled to reduce latency. I can't use a cable to my normal router, as it is too far away.

@user2233709 based on your answer I realized I can actually use the computer as a Wi-fi hotspot which accomplishes basically what I need. I still am interested in figuring out if I can do the router setup though.

@TomYan thanks for your answer, I now have learned about private subnets and the ranges used for those. Good catch!

@Akina I think I've set that up, I can access both routers from my PC using different IP addresses from different subnets, but I'm having trouble accessing internet.

@harrymac I think you have misunderstood what I need. The internet connection has nothing to do with the VR latency. I just want to manage to connect the second router to the PC without disturbing the internet connection that I get from my original router.

@JohnnyVegas I agree! That is what I'm trying to do, using a second router instead of the first as I can't cable up to the first one.

So you have a router with no built in ethernet ports, or are they all used up?

can I have the make & model of the existing router?

@JohnnyVegas it has ports available, it's just that I want to avoid a cable going through my entire apartment.

two routers is the worst possible thing you could do. The only way you will be able to improve latency and be accepted on more servers is to hardwire. Gaming over wifi is never a choice for most gamers I know. There are so many cheap self adhesive trunking options & flat cable too, which is great for under carpets. It's as difficult as you want it to be.

@JohnnyVegas it's not internet latency to multiplayer games I'm talking about, but latency between my VR headset and my computer. But you're right, a cable is better also for that purpose. That said, it definitely is possible to do VR over Wifi with low enough latency 👌