Thanks. I checked Tessmart and they sell KVM+ Docking in one. That will work, but I believe is unnecessary.
In my case, I believe I only need a USB KVM switch as I already have a docking station.
So my plan was to have a USB KVM, with one USB device connected: the docking station. Then, from the USB KVM there's one USB cable to my laptop, and one to my PC. All peripherals (monitor/keyboard/mouse) are connected to the docking station.