I'd like to recommend a website that is a great educational resource for newspaper research, The Ancestor Hunt by Kenneth R. Marks. Ken writes articles on his blog about where to find digitized newspapers online and how to use them to find what you want. He has a list of research links, as well as a number of genealogy books he recommends. The finest feature on his site is his collection of video tutorials that demonstrate step-by-step the various digitized newspaper collections online and how to search, browse, and utilize them.
Here's an example of one of his many videos. They are available through YouTube, and are free to watch.
Viewing the video on this blog may not work well, because of the small size. Just click on the logo "YouTube" right under the video to watch it full size on the YouTube site.