I was in same boat I have 1080gtx. I was going to get a 4k monitor but ended up getting a 1440p and not disappointed. I got the DELL S2716DG Quad HD 27" LED Monitor which also has gsync. At 1080p it depends what size monitor you get as well. People say 24" for 1080p and 27" for 1440p. I didn't get a 4k in the end as I wanted to make sure I could still have graphics on ultra and a lot said that the 1080gtx aloan is not a true 4k card.
I had a 1080p 27" vg27he monitor and everything looked too pixelated even at 1440p 27" DSR. I would really recommend you get a 1440p to be on safe side unless you can test a 4k first be for buying.
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