I need to unsubscribe the creative suite from my computer and put it onto my new one, how do i do this

There is a bit of confusion in the way you explain what you want... more on that in a minute.  Whatever the scenario is, you are allowed to have the software installed and working on two machines, so if you like you can leave the original installation intact as a backup and just install on the new machine like you did originally.

Back to the confusion... You say "unsubscribe" which would be associated with the Creative Cloud.  You say "creative suite" which would not be a subscription (I think they stopped CS subscriptions when the Cloud came into being).  So if you have a Cloud subscription you would sign out of it on the old machine if you no longer want it there.  Then you could uninstall if you like.  If you have a licensed Creative Suite then you would open any one of the applications in it and choose Help -> Deactivate.  Then you could uninstall if you like.