Well this is how I approach a news article. If something political is on the news there is always spin from both sides. Though I am Conservative in views does not mean I can't see the Spin Conservative papers put on issues. Same goes for the Democrats. So I read both sides to the story to see what is being said usually I can figure out the middle road of the issue by doing that.
Issues like the story I posted yesterday about Ohio's Governor. Though I don't believe in the entitlement programs as our government has them set now does not mean I think we should toss them out and do away with them. I believe they should have strict guideline that must be followed by all.
So anyway here are a few source I look into daily for news.
http://www.drudgereport.com (some of this comes from foreign papers but most of the time you will find things that our papers will not even include in their reports but is public knowledge.)
http://www.reuters.com/news (this is the least slanted of all the news reports)
http://www.usatoday.com (This is not a bad liberal paper)
http://www.foxnews.com (This is not a bad Conservative news source)
http://www.nationalreview.com (This is the fairest Conservative Magazine I have read. I actually have a subscription to this and love to read it.)
I hope these help. Though the fairest way to formulate your own opinion is to read both versions of a particular story. If you don't you tend to have one mindset and believe one story. Each story put their spin on it. They will even omit information another story includes to make the story look better.