Yes, you can install and activate Creative cloud on 2 computers.once you have the new computer you can deactivate the apps from the old computer and activate it on the new one.
Two computers at once or two computers total? e.g. if I install it on my laptop and desktop and then get a new laptop can I uninstall from my old laptop and re-install on the new one? Or am I better off only installing on my laptop, waiting until I get the new laptop, and then installing on it. Thank you for your response!
You can install on any 2 computer, suppose you have 2 computers already activated with creative cloud, Now if you would like to activate it on a 3rd computer then you have to deactivate from anyone of the previous 2 computer and activate it on the 3rd computer. So totally you can have creative cloud apps in 2 computer.
You can refer the below link for activation and deactivation help.