There is an app called Calibre. Its main use-case is ebook management (fixing metadata, changing covers etc). The interface is horrible, but it's free, open source, available on every platform and very flexible. I can recommend this app if you have a large digital library. But this post is not about library management.
Many people don't know that Calibre can fetch news as well. It has a lot of built-in "recipes" for different media (e.g. New Yorker, NYTimes, Harper's Magazine or New York Review of Books). Each recipe is basically an instruction for a computer to go the website, get list of articles, get content and images for each article, etc.
These recipes are created by the app developer or volunteers, and are generally very good — they leave out ads, fix weird formatting that you can get using RSS readers or just printing an article. In some cases, Calibre even fetches covers for e.g. for weekly edition of New Yorker, or the cover the monthly edition of Harper's Magazine. Some sites require subscriptions, and in these cases you can add credentials in the recipe settings.
How to do it?
In the top bar (with large icons), there are Fetch news button. There you can search over all sources, and configure settings (e.g. you can just use "Download now" button, or automate it to fetch every day (e.g. for New York Times), or weekly (e.g. for New Yorker). The main culprit is that you have to leave app open for it to fetch news automatically.
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Now, I know that some people choose to not to read news at all, either as an act of protest, or out of desperation. While I understand these people, I don't think that ignoring news is sustainable long-term, because politics affects every facet of our lives. Having a political science degree, I can't afford myself the ignorance that not reading news can give me.
So, for me there are two ways to approach "slow news": RSS, or Calibre.
While RSS is more flexible and you can subscribe to blogs as well as news, I find that subscribing to a typical newspaper using RSS leaves me with 200+ unread articles in my RSS reader just over a couple days. It's very hard to keep up.
Using Calibre allows me to add a sort of cadence to my news consumption, imitate the schedule of a printed media. Also, you can skip some days by just not fetching news. In an RSS reader, it would leave you with 100+ unread articles, and here you just don't fetch the news and that's it :)
Plus, you can highlight quotes and easily export them in any format you want.
I still use RSS for blogs, especially tech blogs and other stuff I want to keep track for work, but for actual reading routine I try to stick to Kindle.
But Kindle specifically is not required! Calibre creates .epub files, which you can read in many apps, including Apple Books, Google Books, Readwise Reader, Kindle, Kobo, etc.
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Hope this post can inspire other people maintain a healthy diet of "some but not too much news".