You will never find unbiased news. What I recommend doing is trying to understand the bias of the journalists that you read/watch on a regular basis and to follow some from several different sides. You have to treat news articles almost like a court trial. The typical routine in the US is that there are two sides presenting a story, and when applicable there is evidence/data/reports/etc. It's a lot of work to review something from both sides and any supporting work (like reports, papers, pictures, statements, etc) but if you want to get down to the bedrock of a particular issue that's what you have to do. You can't do it for everything, and I don't recommend you try. Be informed on the things that matter to you.

There is also the idea (that I think is a responsible thing to do) that will have to tell people you are talking to that you may not have looked in to whatever they are bringing up and you are not really the person to expect informed conversation from. Some people will continue talking about it and it's up to you whether or not you want to try to engage in the conversation beyond the courtesy acknowledgments. However, I find it a disservice to myself and the people I am talking to to try and interject an uninformed opinion or data point.

Ultimately, focus on those things that are important to you. Do your homework on those things. Recognize when you do and don't know something and don't be afraid to stop talking when you don't know something. Be willing to stop and listen, and don't go in to a conversation that you are informed in expecting to change minds.