New computer

FREE Acrobat Reader -- view, comment, print & sign PDF.
https://acrobat.adobe.com/acrobat/pdf-reader.html

Paid Acrobat Pro DC -- the complete solution for creating and saving PDF.
https://acrobat.adobe.com/acrobat/acrobat-pro.html

Log-in to your Creative Cloud account and download & install CC Desktop App.

https://helpx.adobe.com/download-install/kb/creative-cloud-desktop-app-download.html

You do not transfer programs, you do a fresh install

For CS6 (and earlier) or any other serial number program you put your disc in the drive and enter your serial number when prompted

That is, of course, only going to work if your new computer has a compatible operating system

For a subscription...

-sign in to your account with your ID and password
-Cloud Manager to install all programs https://www.adobe.com/ie/creativecloud/desktop-app.html
-https://community.adobe.com/t5/get-started/how-to-activate-your-adobe-software/td-p/9636861?page=1

Becky, what is the name and version of the old Adobe software you want to transfer to the brand new dust-free computer?