-has a link to manage your membership which may help
In short... log out of account and UN-install on A, log into account and Install on B
Discussion of RE-installing http://forums.adobe.com/thread/1398961?tstart=0
-Cloud License http://www.adobe.com/legal/licenses-terms.html
To switch the subscription you simply have to deactivate the subscription on both the machine and sign in again with the Adobe Id committed to annual subscription on the respective machine.