Install programs on a new computer

yes, just install the cc desktop app from here https://creativecloud.adobe.com/apps/all/desktop?action=install&source=apps&productId=creative-cloud and use it to install your adobe subscription and trial programs.

you can install the cc desktop app on as many computers as you own and use it to install all (or some, if you want) of your cc subscription programs. the only (insignificant for internet connect computers) limitation is that you can sign-in (and therefore start your adobe programs) on, at most, two computers at any one time. because you can sign out from either (or both) signed-in computers using a 3rd computer, this could not (imo) be easier.

if you have trouble downloading, use the alternative download site at page bottom here, https://helpx.adobe.com/in/download-install/kb/creative-cloud-desktop-app-download.html