First of all, let me remind you that you can install a Commercial license on two devices. While a Personal license allows you to use it on one device only.
You do not get any license keys for connecting licenses with your computer. We do it automatically once you log in.
Any license is entirely transferable. If you decide to switch your license from one computer to another one log out, uninstall CreateStudio from your computer, and contact our support team to delete the license. That makes a spot for other devices.
Just a reminder, however, that all your projects are saved on your local disk. So it's not possible to share projects between both computers for now. If you know that you are changing your computer and you do not want to lose your projects, then please contact our support team for assistance.