You do not transfer software between machines. You only need to install on the new machine, using your serial number to activate it to full use.
You are allowed to have the software installed and activated on two machines, so there is no requirement to remove it from the old machine unless you know for sure you would not use it again on that machine.
Deactivating it on the old machine will free up the allocation for a second activated installation in the event you find an new second home. TO deactivate you only need to go into the Help menu and choose Deactivate.