Good luck in your new position! I know you can do it! Is there some sort of monitor screen you can apply? I know they make them so that YOU can see the screen from sitting in your chair, but anyone a few feet away will only see a greyed out screen. They were devoloped for patient privacy in hospitals, but would work in your case too!

Here's a link to what I'm talking about.
http://www.hospital-privacy.com/