USB Switch for docking station to switch between PC and Desktop - eviltoast

I’ve got a laptop and a PC. I’ve connected my monitors, keyboard, camera, etc to this docking station

This works like a charm from both my laptop as well as my PC. However, switching between the two is annoying as it involves unplugging & plugging in.

Is there a USB switch I can connect the docking station to, and then a cable each to my PC and Desktop? The docking station has host charging, so it charges my laptop, so I guess the USB switch needs to be powered, or not?

I saw this one which has good reviews.