A lot of TVs come with a Game Mode that prioritises reduction of input latency. If you're looking for a really cheap option (just for gaming) you could even just use any HDMI PC monitor rather than an expensive, bulky TV (it depends on where you play though I wouldn't recommend it for the living room). I use my monitor for the PS4 since my HDTV is ancient and doesn't have 1080p, whereas my monitor does. Even if the monitor has no audio output, it's not a problem as the PS4 can pump your audio through the dual shock 4 itself (if headphones are connected). However I may just be insane in that regard in wanting to use a monitor.