Anything that can do better than 1080p is insanely expensive or cheap and flakey. I gave up looking and just got a new monitor with a KVM built in.
Most have one USB-C with 65w+ PD which includes the keyboard and mouse and then add 1-3 more slots that have HDMI and/or DisplatPort + USB-A for the keyboard and mouse.
Keen to know what you've tried. Or if anyone has found something good that isn't silly expensive or cheap and dodgy.