Budget is too healthy for the general term "gaming", there are many "gaming" definitions out there, for example, casual gaming which doesn't involve any graphics demanding games, MOBO like Dota 2/LoL etc, triple A titles (settings to run), ultrawide/triple screen racing game league etc.

Please elaborate more on what games you gonna play and the resolution you are looking to get, if possible, please state a specific acceptable price range for the monitor as well because some people will panic when I recommend them a monitor with price tag > 1k