I was updating to an OLED tv and got 4K as part of the package. I am using an overclocked 6700k @ 4.5ghz and a GTX1080 with a memory overclock. My main monitor is a 34" Widescreen but I do have it hooked up to my TV since it is in the same room.
It all runs through a 10m HDMI cable, into my Marantz SR7010 and then into my TV.
Gaming wise it is noticeably sharper than my old screen ( TXP65ST50 Plasma ), but thats larger because I previously had a rather soft 1080p Plasma, so even a normal 1080p screen would look sharper. The majority of new games run at 45-60 FPS on absolute max at 4k ( Deus Ex Mankind Divided, Rise of the Tomb Raider ). The rest run at well over 60FPS including such as Bioshock Infinite, The Latest Doom and Life is Strange.
Your living my dream there! Sounds like heaven!