Need Monitor Advice.

I want to buy a new Monitor
i have some Requirements although i dont know they could be fulfilled or not

I am keeping my options Open

Size
1.23-24" 2.27-28"

IPS (MUST)
120hz - 144Hz
1080p - 1440p

GTG Time (=<5ms) Lesser the better

I play Moderate amt of New Games , See Movies & Browse too.