One question i have is how many and how big should the partitions be? I am running Windows on a single partition on a 80 GB hardrive right now
It all depends on how many partitions you'd like and how big would you like them. I have four partitions:
how much free space do you have in that hardrive? how much ram do you have? if you have like 500 mb or more you can omit the swap partition, but it wouldn't hurt making one. you can also only install the "/ " partition and the swap partition. You can also do a search or check the slackware forum there was a similar question there.