I'm possibly getting a new computer (Apple Mac) in the near future.
What's the procedure getting Adobe CC on the new computer?
First you will need to download and install the Creative Cloud Desktop App and then use it to install the apps you wish to use.
These links should help:
FAQ: Can I install Creative Cloud on more than one computer?
FAQ: How do I download and install the Adobe Creative Cloud Desktop App?
FAQ: How do I download and install Creative Cloud Apps?
FAQ: How do I activate my Creative Cloud Apps?
FAQ: How do I launch Creative Cloud Apps
Retrieving data ...