Using a monitor for any HDMI device is extremely complicated unless it has speakers. You don't need TOP OF THE LINE specs on a TV to play video games. A simple 32 inch LCD HDTV would be just fine unless you need to use it with a computer as well.
Otherwise, you can always do what I did. Buy a TV and mount it on the wall above the monitor.
Thank you for your help, i find something, a TV monitor.