After researching children magazine publishers for an hour or two, I submitted two of my stories to two different magazines. So that means in about three months I should be getting rejection letters in the mail...or a wonderful surprise.
Now it may seem I'm being pessimistic about my chances of getting a story published. No, I don't think so. I believe my stories are pretty good, many times they're better than things I've read. But the chances of my story hitting the exact right editor at the exact right time are slim. There are numerous people submitting stories. But because my stories are well-written, because I act professional (I type up my pages on plain paper, double-spaced; I don't pour perfume on them or send a box of chocolates with them just to be noticed, for example), and because I keep on editing my work and submitting it, I believe that eventually I will be published multiple times. What a paradox, eh, believing my chances are slim but believing I'm still going to be published? Well, I just have to keep submitting (and writing and editing and researching to whom to submit).
My optimism shows in the fact that I am still submitting.