I'm going to be blunt.
Cherry - The go to switch, the best switch out of all three of these types and also the most expensive. Think of the Cherry switch as the Ferrari.
Kailh - Think of this switch as a close 'comparative' to the Cherry counterpart, but think of this switch as a car that has tried to copy Ferrari, but it just doesn't quite feel the same.
Kailhua? - Erm. I'll be honest, I've never even heard of these switches, they just sound like a variant of the Kailh switches, but I could be mistaken.
In all honesty, just stick with what you know and keep using the Cherry MX switches, they're the best available apart from Topre.