TillDeer - A good 4k TV from any of the majors should suffice, and if you can manage at least a 1080, you should be pleased enough with the performance even if you have to adjust some settings. I've not had a 1060, but I had a 1070 and on the Acer 4k my advice would be a negative, and it'd be probably worse on a larger " 4k TV.
I'll give you my 4k experience. Right when Acer came out with their 28" Gsync 4k, I bought one. I've ran it with 980ti, 1080, 1080SLI,1080ti, and a Titan XP, on various modern (within the last 18 month) 6700/7700/Broadwell E CPUs.
4k with AAA graphics intensive titles CAN be ran and be playable, but your expectations should be that with even the fastest GPU/CPU gaming combos out there, maintaining even 60fps might not always happen on high detail levels, and not in just a few games either. AH3 shouldn't be an issue, and since the 144hz 4k aren't out for another quarter or two, 60fps is about all you can hope for anyway. Just be prepared, with a 1060, you absolutely will have to decrease detail and AA and other settings, probably a lot, to maintain that 4k res at a playable frame rate.
IF you're buying a 4k TV, at least you'll get the double value of having it AS a TV as well, but purchasing a dedicated PC LCD that's 4k with a 1060 = IMO stick with a good 1080p 144hz+ IPS or even a 1440P monitor for now. Just my opinion.
Just be aware that even the so called "gaming" 4k TVs aren't really a big improvement on 4k TV gaming right now. LinusTechTips here in Canada if you check out his YT channel has recent excellent videos covering 4k TV gaming and some of these new models, so you can better manage decisions and expectations when deciding what direction to go.
IMO in another year, maybe 2, 4k desktop LCDs and the new Volta/whatever will be able to make 4k gaming a much more consistent performer. IMO soon after VR headset tech will start supplanting 4k, and I have a feeling that the new Asus 144hz 4k 27" LCDs coming out in Q1/Q2 2018 will be the last LCD gaming monitors I ever buy due to VR tech in the next 5 years taking over.
Spikes + others = good advice IMO. If you're serious about getting into a 4k TV or monitor, do some research (LTT YT again/etc) on what the best 4k TV option is, or pick up an Asus/Acer/etc 4k gaming LCD, and get yourself as an absolute minimum, a 1080 (lots of used ones, i just sold one for 475$ CDN, my final 1080 left), or better yet find a used 1080ti if you can manage it. 4k is usually very playable, again with managing expectations and doing some fiddling with settings, with either of those GPUs in my experience.
I still prefer 1080 or 1440p due to the higher refresh/fps rates available, in addition to target size in this game, and 90% of the gaming in our places is in these resolutions, not the 4k monitor. Re the 4k tvs, again, be aware of claims of 120hz and various response times, they are mostly fibbish, some good things to check out regarding them below.
http://www.rtings.com/tv/reviews/best/by-usage/pc-monitorhttps://www.youtube.com/watch?v=hEtU_yewa8o&t=413shttps://linustechtips.com/main/topic/668790-best-4k-tv-for-gaming/https://www.youtube.com/watch?v=ZNH--2g5Jwchttps://www.youtube.com/watch?v=BwS0fftQAFc