Like Banana commented: Using the Screen class you will be able to use it's AllScreens
property.
From there you are able to take out the desired screen you wish to use by index
:
var screens = Screen.AllScreens;
var screen = screens[1];
If you are using more than 2 screens using the DeviceName
could be the way to go:
var screen = screens.Single(x => x.DeviceName == "name of the monitor");
As stated by Kyle Burns in his answer:
you could also find out other information such as detecting which of them is currently considering the Primary monitor in the system
Edit:
Here is a solution on how to start a process on a different screen