I've used Google Reader for years, but I won't miss the service when it shuts down later this year. There are plenty of alternatives (and more on the way). A few of the more intriguing choices are Feedly, Feedbin, Fever, and NewsBlur.
Like many users, I never actually visit my Google Reader page. I rely on third-party services that suck in my Google Reader subscriptions. For the desktop, I use Feedly. For iOS, I use Reeder. Will it matter that I'm no longer using Google Reader on the back-end? Not really. I take solace knowing that I'll be using fewer Google services. My main concern is that this may be part of a broader trend with Google: trying to funnel us all into Google+ and clamping down on how (and if) third parties can use Google services. I wouldn't be all that surprised if Google were to lock down Gmail someday soon so that it could only be accessed via Google's mobile apps or their web-based service. It is an ad-based company, after all.
In any case, of the many alternative news aggregator services, my bet is that Feedly will rise to the top of the pack in terms of popularity. They're poised to seamlessly transition existing Google Readers (without any required user action). That's very handy, but it would only go so far if the service was so-so. On that front, I think the Feedly experience is one of the best out there. It looks great, it's easy to customize to fit different workflows and visual preferences, and they're aggressively honing the service to make it better.
As an example of this, I've just rediscovered Feedly's mobile apps. I've used Feedly on the desktop for quite a while and like how easy it is to view and manage feeds in various ways. While I tried the Feedly iOS apps early on in their history, I wasn't drawn in. Reeder was still a better experience on iOS. However, I tried the apps again last night. I'm glad I did. These apps have come a long way and I'm fairly convinced that they'll work for me quite well.
As an aside, I also enjoy news aggregation services like Zite and Prismatic, but I tend to put these sort of services in a different category as they focus on presenting stories based on reader interests. They are fantastic for discovery and casual browsing and are certainly worth a look. Lastly, you may note that I haven’t mentioned Flipboard anywhere in this article. I must be one of the few people out there who just don’t care for it. Nothing personal, Flipboard. I note it here, though, because it’s an alternative highly-regarded reader that is also certainly worth a test drive.