If you want free publication, you can always start a blog.  You can do so at blogspot.com.  Otherwise go to duotrope.com and sign on for free newsletters about current markets for short stories, poems, artwork, etc.  This is an excellent and free weekly resource.  They ask for donations.  They tell you how much the market pays, length of work, fiction, non-fiction, genres, email submissions, postal, etc. 

There's a site I don't know much about.  It's called FanStory.com.  It sounds great.  You would have to pay $48 per year.  They give you a free one week trial.  (Remember to cancel before week is up if you don't like it.)  They have people who read and critique your work, usually other writers.  I've read though that certain markets will not accept "FanStory."  I don't know why.  Your writing is not displayed to the public, except the other members.