I am always surprised how many people don't use RSS feeds. God damned internet pedestrians.
You subscribe to a feed and henceforth get ALL updates to those sites pushed to you. It's like email, only without mail servers. You get the headline and a snippet of the entry, sometimes the entire entry. For instance: Every subreddit has a feed. Every news source has a feed. Podcasts, blogs, whatever. If it updates regularly it has a feed. Every day I scan through them and pick what I want to read in detail without the need to go to every single site individually, scanning it for anything new. It is so, so useful.
Seriously, fuck Google for shutting Reader down. I've already looked at Feedly and I guess it'll have to do. Hopefully they can get their own back end running without problems come July.