Thanks!
My recommendations:
http
/www.amazon.com/gp/product/B0148OZLOS?tag=rtings-tv-bs10b-20&ie=UTF8
$ 998,00
-55"
-120 Hz native
-4k 60 Hz 4.4.4 (PC)
-1080 120 Hz (PC)
-VA
-17,7 ms input lag
Slightly better than above:
http
/www.amazon.com/Samsung-UN55JU7100-55-Inch-Ultra-Smart/dp/B00T48CVVK?ie=UTF8&psc=1&redirect=true&ref_=ox_sc_act_title_1&smid=A17MC6HOH9AVE6
$ 1,199.99
-55"
-120 Hz native
-4k 60 Hz 4.4.4 (PC)
-Active 3D
-VA
-26,1 ms input lag
Quite a bit better than above:
http
/www.amazon.com/gp/product/B01C5TFLSE?tag=rtings-tv-bs10b-20&ie=UTF8
$ 1,497.99
-55"
-120 Hz native
-4k 60 Hz 4.4.4
-HDR
-VA
-20,9 ms input lag
Incase you're interested in a OLED:
http
/www.amazon.com/LG-Electronics-55EG9100-55-Inch-Curved/dp/B0148OZNKK/ref=sr_1_1?s=electronics&ie=UTF8&qid=1463567959&sr=1-1&keywords=1080+oled
$ 1,797.00
-1080
Not sure of the other specs, I haven't looked into OLED's personally.
That sums up your budget. The last option is currently on sale, which is why I didn't hit the top of your budget. These are not the only TV's on the market, but it gives you an idea of what to expect, and perhaps help you go out on your own now that you know what to look for, because I listed the important features. If I don't list a feature, it means it doesn't have it.
My goal was to point you in the right direction, but I'll be more than happy to answer any questions you might have!