This is how I do it as well. In general, understanding the overall bias of each news organization is more important to keeping yourself informed. You can combat the echo chamber effect by knowing what the biases of each source is and using differing sourcing to try to get as complete a picture as you can.
I would add to your list to check BBC, Al Jazeera, and NPR if you’re US focused.
Where do you go on Lemmy for reliable news and politics?
I’m enjoying Lemmy so far, for the most part....