I'm not familiar with the PS4 and what inputs it has, but I would recommend a USB interface to run your mic through. It will allow for the best quality audio on your PC, but unfortunately I don't know much about the PS4 so you would need to look up to see if it would work for that. If your budget allows, you could always get a Zoom portable interface/recorder as it can run through USB to your computer and through a "line out" (standard 3.5mm audio jack) to the PS4. You may also be able to use a mixer for the same purpose, but look into what you need/have the budget for before you buy.

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The products I linked are just starting points to help you out, but should fill your needs if you decide to go with one of them. Good luck, and I hope you can get everything running smoothly!

To mix two (or more!) devices into one receiver you must have a mixer. There are affordable ones on the market.

This Behringer mixer will work, but note that it only has one microphone input.

If you have trouble getting a regular interface to provide enough gain for a mic like a 57, then consider getting a small format mixer that has an interface built in. The mic pre-amp in the mixer will definitely have enough gain for a very common mic like an SM57.

Here's one:

https://www.amazon.com/Behringer-302USB-Premium-5-Input-Interface/dp/B005EHILV4/

There are some cheap options available via Amazon. This one is a cost-effective and simple design. It doesn't have a lot in terms of sound management, but it will connect your XLR mic to the computer. This one has better sound management, plus it has a lot more ports that can be connected to your computer as well. The higher the price, the more the unit can do on it's own.

In my opinion, for the price, I would say the second option would be the best value. Versatility is key.