ZipSlack is a more small version of Slackware designed to run from a Windows/Fat32 partition.
If you downloaded the 4 CDs already, what u could do is go ahead and install Slackware. Use those 8GB to create your partitions. The order usually don't matter.
I always create a 32 MB for my /boot partition; and since this partition is pretty static and don't need journaling, I use ext2.
My second partition usually is /swap. Once you have your boot and swap partitions out of the way, enjoy yourself creating partitions
--3. How big should the Swap partition be? I have 512mb of ram.
Usually is double of your ram, but the maximum recommended is 512 MB, however I use 1024MB for my swap (but that's cuz I don't find nothing better to use my HDD space
). Keep in mind that 512 MB for swap should suffice.
--I also have some concerns as to whether I can install this OS on my Celeron 566 PentiumIII with the built-in sound & video cards.
Try it yourself
the second CD is also a live CD that you can use to boot up your machine and see if Slackware detect your hardware.
I hope this helps you, enjoy Slackware, have a nice day