If you weren’t at a university it was generally a challenge to get hold of disks. Downloading at home took forever on a 28.8 or even 56k modem (ie. 56 kilobits per second).
Slackware and Redhat disk sets were the thing, in my experience. But generally that only gave you the compiled code, not the source (although there was an another set of disks with the source packages).
If you wanted to recompile stuff you had to download the right set of packages, and be prepared to handle version conflicts on your own (with mailing list and usenet support).
Recompiling the kernel with specific patches for graphics cards, sound cards, modems and other devices (I remember scanners in particular), or specific combinations of hardware was relatively common. “Use the source, Luke!” was a common admonition. Often times specific FAQ pages or howtos would be made available for software packages, including games.
XFree86 was very powerful on hardware it supported, but was very finnicky. See the other posts about the level of detail that had to be supplied to get combinations of graphics cards and monitors working without the appearance of magic smoke.
Running Linux was mostly a enthusiast/hobbyist/geek thing, for those who wanted to see what was possible, and those who wanted to tinker with something approaching Unix, and those who wanted to stretch the limits of what their hardware could do.
Many of those enthusiasts and hobbyists and geeks discovered that Linux could do far more than anyone previously had been prepared to admit or realise. They, and others like them, took it with them into progressively more significant, and valuable projects, and it began to take over the world.
SSH along with the extra stuff it comes with like scp is the way forward.
The two following suggestions make use of secure shell.
Termux and then pkg install mc
(MC is Midnight Commander)
Alternatively, if you are feeling brave and GUI, Total Commander here.
Consider using tar to create an archive of your home directory, and then unpacking that on the new machine. This will help to capture all the links as well as regular files, and their permissions.
Take a minute to think what else you have changed on the old machine, and then take another minute to think how tricky it would be to replicate on a new machine. Downloading the apps again is gloriously easy. Replacing configs, or keys and certificates, is not!
I normally archive /etc as well, and then I can copy out the specific files I need.
Did you install databases? You’ll want to follow specific instructions for those.
Have you set up web sites? You’ll want to archive /var/www as well.
I have never knowingly used Arch. Am I allowed to like this song?
Also, Taylor Swift, is that you?
And will be cancelled in 18 months with 2 weeks notice.