Some email programs have RSS features built-in, but there are also many options for standalone RSS feed readers that come with added features like folders and search functionality. Feedreader, Inoreader, and Feedly are examples of basic, free RSS readers with options for paid premium features. The Old Reader is another great option— it has a simple user interface, and the search feature is often able to retrieve RSS feeds from well-known academic journals.
If you encounter an RSS icon on a website, you can either right-click on the icon and copy the link location (or, alternatively, you can click on the icon and then copy the url from your web browser's menu). Then, paste the link into the "Add a Subscription" box in your Old Reader.
RSS links for subscription resources can sometimes become bungled with proxy information, and other miscellaneous problems (often resulting from paywalls) do happen. If you struggle adding a feed, please get in touch and I will assist however possible.