The Writers' Lounge

The duotrope and ralan suggestions are really good ones. And since you write fantasy and are looking for markets, I thought I'd specifically mention The Writers of the Future Contest, which is a really tough market to crack, but one that's specifically tailored to new writers, has a pretty nice cash payout if you make it, plus they fly you out on their dime to a lavish award ceremony where you attend workshops given by well known pro writers. It's a pretty sweet deal for the twelve writers a year who make it.

The contest is quarterly and you can enter four times a year which is nice because it provides a deadline and even if you get rejected, you have four stories you can shop somewhere else. A lot of people submit continuously for years until they either pro out or win. Plus even though there's thousands of stories as your competition each quarter, they have an honorable mention system which lets you know how you're doing as a writer (if you get an honorable mention, you know if you're probably in the top 10%, and then on up for the other tiers), which you almost never get from other markets. If you get high enough (I think semi-finalist) you get an actual critique from the judge.