Guitar/Amp Channel Switcher?

Someday when I become a successful indulgent musician putting on a live concert, I'll likely have a number of different crunch sounds I'd need set up to perform different songs. Of course each sound will depend on the guitar, and the amp.

I'm not sure if something like what I'm imagining exists, but it'd be nice if there were some sort of guitar/amp channel switcher whereby I can connect multiple guitars to a signal, make the each guitar active only one at a time, and send that active signal to the amp I wish to use.

I should run this again someday and see what happens.