It is time consuming, so you might want to pick one a day, that has a big reach and link up there. This will bring readers to you that are interested in what you have to offer on your blog. They may leave a comment. If they do, comment back and then visit their blog.
2- Connect with readers: Ask simple questions on Facebook (tonight I asked “when was your last date with your spouse?”) Get to know them and let them get to know you. Let them e-mail you. In my Potty Train in a Weekend book, I write “e-mail me with any questions” and I get a lot of e-mails, but then I also grow my followers because those people that wrote to me end up being new followers (and even friends).
Just interact a lot… Comment on their comments (on FB, pinterest, your blog… wherever). If you are looking to connect with other bloggers, the best way to start networking is definitely with Facebook. I am in SO MANY blog groups on Facebook! (SO many!) Also, comment on their Facebook posts and share for them. Pick a few every week and keep going back to those ones & commenting on them, but also connect with them on FB & twitter.