There is growing discontent with Twitter and Facebook, but many still use these services to access the news. Using these social services is going to provide a slanted view of the world and also blends together legitimate and sketchy information sources. RSS offers an alternative that you control.
I have written about RSS many times before. Designating the sources you want to follow using an RSS reader, allows you control over the content you want to review. Certainly, this might end up feeding your own biases, but following reputable news outlets would likely offer an improvement for most individuals. This was the argument made in this Gizmodo article suggesting those who rely on recommendations through Twitter (and Facebook) improve the quality of the content they view.
I have long used RSS (Feedly) to follow bloggers I respect and I had not considered adding news feeds to the content I consider on a regular basis. A question I know concerns new RSS users is how they should discover quality sources. My response for news feeds is far easier to implement than how I recommend users get started following blogs. It easy enough to find lists of the RSS feeds for the major news outlets. If this idea appeals to you, I would suggest a specific list to get your started.