Adobe CS 5.5 x64 bit Download Help

However, I'm having to purchase a new computer

Presumably a Windows machine? CS5.5 won't install or run on today's Macs running Catalina or Big Sur.

Direct Download Links https://prodesigntools.com/tag/ddl MAY help
-you MUST do what it says in Note: Very Important Instructions
-https://prodesigntools.com/adobe-cc-2015-direct-download-links.html#download-instructions
-the prodesign links go directly to Adobe's file server, so this process will
--only work until Adobe completely removes the old version(s) from the server
.
IF/When you do have a download, be sure to copy it to AT LEAST one external device
-since Adobe does sometimes remove old versions from the server
-a usb flash drive or external hard drive, or write to a DVD
-plus a text file containing your serial number if you have CS6/CS5

Since that version has not been in stores for several years, the above is your only hope for a legal version... and beware of buying on ebay, since there are a lot of hacked fakes there

I've moved this from the Using the Community forum (which is the forum for issues using the forums) to the Download and Install forum.