Hey D2JSP Community, sitting on a computer that's a few years old and needs some upgrades, what would you all suggest?
Just a heads up, I'm not super tech savvy. This computer was originally built by professionals. Let me know If you need more information

Budget: Aprox 1,100 USD / 1k Euro
The goal with my build is to be able to play the most up to date games on the highest graphics with a steady 60(+) FPS
I'm currently running;
Dual (Crappy) Monitors
Windows 10 Pro (64Bit derp)
Asus P9X79 Motherboard
Intel Core i7-3820 CPU (3.6GHz) (Quad Core with 8threads)
16GB Ram
2GB NVIDIA GeForce GTX 680
650W Power Supply Unit
Stock Fan for CPU + Two Fans for the casing (Do these have any special names? External fans?)
I've only noticed overheating once with my CPU (fans started revving pretty high) so I did a standard clean out with pressured air + replacing the cooling pasta for the CPU, this was aproximitely a year ago.
Would it be enough to upgrade my Graphics Card to a GTX 1070 + a new monitor for gaming use, would my PSU handle it? Should I run double graphics cards, having my current 680 dedicated to only my monitors for example, or just salvage the 680? Should I look into water cooling or would that require a whole new chassi?
Thanks to every one who takes their time.