If you paste https://www.nytimes.com/ into your feed reader it will likely discover https://rss.nytimes.com/services/xml/rss/nyt/HomePage.xml automatically. This tends to work very well for most blogs and many sites. I often just assume that there is a feed available and past article URLs into my feed reader, most of the time the feed is automatically discovered.

Back in the day browsers had icons that would light up when a feed was available, however all of the most popular browsers have removed this feature. You can add it back with an extension easily if you are so inclined.