Look for online markets. The internet is quickly becoming one of the best ways to become published and there are some great high paying markets. Starting online will make it easier for you to break into print. Grab opportunities when they arise. You don't have to settle for the price they offer.
Many editors are willing to discuss payment and rights offered.
Keep your query letters short. They should be no longer than 3 short paragraphs. First paragraph should contain a hook, or an excerpt from the article itself. Second paragraph should include a working title, approximate word count, sources or interview subjects and what department it would be best for in the publication. Third paragraph should briefly list your credentials and why you are the most qualified to write this article.