I guess a few other people must have been doing likewise as it's been announced that Bloglines is to close on 1st October. Bloglines is owned by Ask.com and you can find their explanation for their decision here - Bloglines Update
A little perspective: when we originally acquired Bloglines in 2005, RSS was in its infancy. The concept of “push” versus “search” around information consumption had become very real, and we were bullish about the opportunity Bloglines presented for our users. Flash forward to 2010. The Internet has undergone a major evolution. The real-time information RSS was so astute at delivering (primarily, blog feeds) is now gained through conversations, and consuming this information has become a social experience. As Steve Gillmor pointed out in TechCrunch last year , being locked in an RSS reader makes less and less sense to people as Twitter and Facebook dominate real-time information flow. Today RSS is the enabling technology – the infrastructure, the delivery system. RSS is a means to an end, not a consumer experience in and of itself. As a result, RSS aggregator usage has slowed significantly, and Bloglines isn’t the only service to feel the impact. The writing is on the wall.There is a a three-week period to export feeds to another service – more detail and instructions can be found on the Bloglines website.
I've just moved all my subscriptions from Bloglines to a Google Reader and it took about two minutes - easypeasy! :)
It's worth noting that the import/export tab for Google Reader is a tab within the Google Reader Settings tab rather than a line in the menu as it is with Bloglines.