What do I have to buy so that when I go to my workplace with my laptop, I can simply plug it into a cable and switch between the computer and laptop video output using a button on an adapter or something similar?
Important, both monitors only have DVI and VGA, is for my boss
It's called a KVM switch.
Combine this with a docking station that matches the notebook, then the notebook only has to be placed in the dock and the mouse, keyboard and screen can be switched at the touch of a button.
https://kvm-switch.de/de/AS-22HA.html