You should definitely get some credits first, and go the legitimate press route, if you want to be taken at all seriously/be eligible for awards, etc. Luckily, a huge number of literary mags (Poetry, Ninth Letter, Quarterly West, Agni, Ploughshares, Boston Review, West Branch, Jubilat, VQR, Indiana Review, and heaps of others) now take subs through online submissions managers that are quick, simple, and free to use (no postage!). Build up some credits, take feedback seriously, revise, revise, and refine, and you'll soon have enough credits to entice a publisher. Good luck!