I recently started using the "Tweak New Twitter" add-on, and it has been amazing. Twitter now functions the way I expect it to. I see ONLY tweets from people I explicitly follow. No trending, no random tweets.

Weirdly, however, because I don't follow that many people, it all seems a bit quiet and bit boring. I hate myself for it, but a (small) part of me wants to disable it just to get back to the random noise. Yikes.