I am trying to find a way to easily switch between a work laptop and a home desktop tower. I know this topic has been covered in other posts but I wasn't able to find a solution for me. Details as follows:

Laptop- Dell Latitude 3520

PC Tower - CyberPowerPC

Currently using a Dell Docking Station for 3 monitors (2 HDMI/1 DP) along with wireless keyboard and mouse:

Dell USB 3.0 Ultra HD/4k Triple Display (D3100)

Each computer plugs into power outlet independently - don't need docking station/kvm to supply power.

Each computer plugs into the docking station using a USB connection:

Laptop is from USB C

Desktop is from USB A

The "in" to the docking station is a USB B

Currently, to switch between the 2 computers, I need to unplug the corresponding USB cable from the docking station and plug the other one in. I am trying to find a solution where both can stay plugged in and I can easily change to whichever computer I want to use. I realize that I am currently only switching out one cable to do so, but would rather not have to do this. 

I am sure there is a way this can be done - but my limited computer knowledge is keeping me from identifying what I need to do. Any help is appreciated.