I started collecting quotations when (also somewhere near 1984) I found a few I liked in Omni Magazine (the "Wired" of the 80s). Probably the first 50-100 quotes in my collection were from Omni, and probably 90% of them were misquoted.
An earlier influence were a couple of speakers' quotation books my parents had, "The Road Not Taken" and "The Road Less Travelled". (Those have been discussed here before, I think.) Those were probably my first exposure to quotations, I think I read them when I was about 12.
I also used to skim the "Reader's Digest" every month for quotations.
I vaguely remember a "Murphy's Law Calendar" long ago that had a few quotations that sparked my interest too.