Did you purchase CC 2017? You can deactivate on one computer and activate on another. You can do the same with the stand alone product as well.
What version? If CS6 or earlier, deactivate on the old computer as Michele has told you. If CC, just install and sign in. You are allowed to have it running on two computers at any one time. Adding a third CC installation automatically disables one of the previous two. Note: you can switch between computers, and as far as I know, as often as you like. I use three computers, and switch between the laptop and tablet as I need, and it has never been a problem.
If you still have the license keys you can load it onto the second computer. Try it before uninstalling from the first computer.
Transferring is not really a thing unless you copy the whole computer's info to a new one via timemachine etc. if your'e on a mac.