I do not believe there are any machine links in the databases that would prevent you moving them.
I'm have not had to do this ...and I'm sure others will chime in with better more detailed instructions. I would think you could detact the database, back it up and then restore it to the new system.
You would need to adjust the settings inside of CCS to point it to the new machine as well.
Do you have a lab that you could test it out in or a test environment ?