In my humble opinion, if you're just going to be playing at 1080p 60hz, then all you need is a 1060 or even a 580/570 if you can get your hands on one.
You really don't need a 1080 ti to be playing on 1080p as you're actually limiting yourself on performance at that resolution. (not by much, but it is there)
A graphics card choice also depends on what other components you have, IE do you have a CPU that is comfortable with what you're doing currently or is it running a little slow.
In my opinion you should go with a 1440p screen, 144hz if you play competitive games and just get a 1080 or even 1070. (I used to run a 1070 at 1440p 144hz, not completely maxed out setting though if you want to stay above that sweet 144fps mark.
I hope this helps.