You just installs it and copy your assets and migrate your preferences over you home network. You can have CS6 installed one two machines with your CS6 licence. Use one at a time. If you are not going to use you old machine in the future. You should than deactivate the CS6 install use its menu Help>Deactivate. Then remove if from the machine.
CS6 need to be installed to work it need to be configured for you machine's OS. Also be sure to use its menu Help>Updates CS6 need its updates its very buggy without its updates.
Thank you for the advice, I will try what yo propose..