Check out https://www.store.level1techs.com/products/p/kvm-switch-usbc... paired with https://www.store.level1techs.com/products/p/dp-repeater-hdm... for one of your computers - it may do the trick for you. There are other models if you want more monitors or computers (or different set of inputs).

No affiliation with them except that I've got one their KVMs (not an USB-C version, though) myself and it's been quite reliable (only infrequent accidental hiccups, nothing unplugging the power for a second can't solve), much better than my previous pile of hacks juggling monitor inputs via DCI and using USB switches for the peripherals.