Hi, tony1. I think you might be shooting yourself in the foot if you start at the bottom, with magazines that favor never-published writers. Not that there's anything wrong with such magazines, but my thinking is to go the opposite direction.
Get yourself a Writer's Market or any other listing of markets and figure out all the ones that your story might fit. Check them out--find recent issues in stores or libraries, contact them for sample copies, borrow back issues from friends, etc. Read the stories in all of them and figure out if your story would be a decent fit there and whether it's as good as the ones they're running now.
Make sure your story is the best it can be, then send it to the highest-quality and/or best-paying magazine that it seems right for, following its guidelines exactly. (If they say no simultaneous submissions, for instance, they mean it.) If they reject it, send it to the second-best market, and if needed, the third-best, and so on, until you make a sale or you've run out of any markets at all for this particular story.
That way, your story will find its placement in the best market it's good enough for. If you submit it to the worst markets first, you guarantee it a poorer placement. If it's good, one of them will snap it up, maybe paying only in copies. (Eek!)
Maryn, hoping this helps