Google has announced the imminent shutdown of Google Reader, effective July 1. I use Reader every day, often as the back-end for other RSS reader apps, like the excellent Newsrob for Android, and it's the core of how I blog and stay informed -- over the past several years, I've gradually shifted over from bookmarked tab-groups to feeds -- I used to have hundreds of the former, now it's more like a hundred, and my feeds have ballooned into the thousands.
Various forums have vigorous discussions of Reader readers should do next. Reddit, Hacker News and Lifehacker all give high marks to Newsblur, where I've had a paid account for quite some time. I tried Newsblur a couple years back, and liked it at first blush, but at the time found it too slow and not well enough integrated into Android for my taste. Apparently, both of those issues have improved a lot since those days, though at the moment the whole site appears to be slow due to the enormous attention it's received since the Reader shutdown notice.
What do you use for RSS?
I write books. My latest is a YA science fiction novel called Homeland (it's the sequel to Little Brother). More books: Rapture of the Nerds (a novel, with Charlie Stross); With a Little Help (short stories); and The Great Big Beautiful Tomorrow (novella and nonfic). I speak all over the place and I tweet and tumble, too.