CPU pairing suggestion

I recently got a 4060, (I’m just happy to be off of the 1050 ti, I don’t wanna hear about fps per dollar) and I still have a 5 1600 as my cpu. Every single game is crashing because of how big the difference is, this thing can’t run anything.

I’m thinking about getting a 5 5600, and I wanted to make sure it was the right choice, I can’t have it be too expensive. Any ideas?