The same callsign may be installed onto many computers by running the CQ100 installation program. Just be sure the callsign is not being used from two computers at the same time. It might appear to work for a few minutes, but the oldest connection will soon be disconnected.
Sitting at the new computer,
Go to the qsonet home page and sign into your account.
Scroll down the page to "Download"
Download the program and install onto the new computer.