You need a patchwork of sources.
Others will have different habits but I, for instance, over the course of a week, probably read online at least :
The Times (subscription).
The Financial Times - especially at weekends.
The Guardian
New York Times (subscription)
Le Monde
And follow their lead towards various random journals of news and cultural affairs on an ad hoc basis.
After waking up to the Sky headlines on my phone, I rely heavily on BBC Radio 4, from morning till night, for confirmation of news, and for relatively serious and searching discussion of politics, art, food, agriculture, literature, religion, gardening, law, domestic life, theatre and film, history, economics, architecture, the environment, drama and The Archers. I sometimes turn to Radio 5 if they have live coverage of some political event. Plus Radio 3 for particular music, drama or discussion programmes. I’m well aware of Internet radio, and sometimes dip in, but like the familiarity of stations I’ve listened to since childhood.
I’m also plugged into a few academic research networks so often see breakthrough scientific or other news from those sources before they hit the main news outlets.
None of that prevents me from seeing stuff from less reliable sources on social media, and I’m not averse to turning to the less salubrious papers if a headline catches my interest, but I retain an active scepticism over what I read from these outlets.