I have been reading what you would call short fiction since I was very young (is there anything that more epitomizes short fiction than a Little Golden Book?) and I was probably 9 or 10 years old when I got my first magazine. I am reasonably sure it was a copy of Asimov's Science Fiction magazine; I still have a couple issues from back then, though not all of the ones I read by any means.
To have lived through some of the heydays of fantasy and sci-fi short fiction and the magazine boom only to then to see it falter, almost disappear completely, and then start to recover was an interesting experience.