Your AMD should have some headroom for some overclocking (unless your motherboard is garbage). Besides overclocking you are up against a wall with that motherboard. It is too old for any meaningful upgrade. Since you overclock any other AMD CPU which is compatible won't be any help as they are all the same chip with different factory settings. Settings which become meaningless if you overclock. They all have about the same limit.
Adding more RAM won't be any help for gaming.
A new GPU can help in some games. A GTX 1060 is a pointless upgrade as it is a very minor boost over the 970. You'd be looking at a GTX 1070 or better for any meaningful upgrade. Even then at 1920x1080 the CPU will hold you back. Although they would make for considerable improvement at 2560x1440, 4K, triple 1080p, &c.
Your best option in the here and now is to save up for a complete motherboard, CPU and RAM swap. I would look at a Ryzen 1600 or 1700 CPU or Intel 7700K. So, you will have a CPU upgrade that will last a long time for gaming. I'd plan on spending $150 to $200 for a good solid motherboard with excellent power handling for overclocking and possible USB 3.1 Gen 2 support. USB 3.1 Gen 1 is a crock of s*** pawned off on people. It is actually just USB 3.0. If a motherboard does not specifically say USB 3.1 Gen 2 it is Gen 1. Enough of this rant. A good motherboard will also have halfway decent audio circuitry and the usual bells and whistles.
Frankly, your system is still decent for gaming. Just upgrading the CPU or GPU likely won't give you a major upgrade. I'd improve the cooling and bring the AMD up to 4.6Ghz and do a minor clock boost on the GPU (using MSI afterburner). That's about $50 for a good air cooler (Scythe Mugen 5) and $15 for a pair of Arctic F12 PWM case fans. The Arctic have good airflow, static pressure and are quiet. They compete on the same level as other brands that cost double.
Then sock away $30 a week for the next year. At which point you can buy a new system GPU, CPU, RAM, Case, PSU, SSD and HDD for $1,500. As your other components are likely pretty old as well. If at that time you also sell off your current system (including peripherals). You could likely buy a decent 27" IPS 2560x1440 gaming monitor, mechanical keyboard and gaming mouse to go with the new build. Saving up for one big new build is far more satisfying than a hodge podge of upgrades.
“The idea of waiting for something makes it more exciting”
― Andy Warhol
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