Gosh, it would take me a week to list all the blogs I read! But some favorite sites are Free Money Finance, All Financial Matters, Baby Cheapskate, The Bargainist, and The Consumerist. And of course, my own blog, Chief Family Officer. A good place to find personal finance blogs is PFblogs.org.
If you don't read blogs regularly, you don't know what you're missing! There's such a wonderful community of bloggers and there's something for everyone. I've learned so much and gotten so many great ideas from the blogs I read. For example, Baby Cheapskate, which I mentioned earlier, posts the best deals on diaper brands every week.
A good way to get started is to pick a reader - I use My Yahoo! because I've had my Yahoo page for almost 10 years now. Google Reader (http://www.google.com/reader) and Bloglines (http://www.bloglines.com/) are also popular. The best thing to do is find a blog you like and read the blogs that are listed in the blogroll (which is usually a list of similar blogs that the author likes). As you find blogs you like, add them to your reader (most blogs have an "RSS" button or clickable text that says "subscribe to this blog's feed" - just click and you'll be able to choose the reader you're using). Pretty soon, you'll be able to scan the most recent posts from your favorite blogs all on one page and it'll be easy to choose the posts you want to read.
Hope that helps!