As a blogger it is a good idea to have an email address that can be used for your blog, unless you have a contact form on your website which enables your readers to contact you. Since having an email dedicated to your blog seems to have many advantages, it is a good idea to make sure that your email account is always reachable and overall high quality. You can make sure this happens by registering at such places like Gmail. Gmail allows you to store over 6GB of data, which means that you never have to delete your emails. You can always access your messages, which gives Gmail an advantage over other free email accounts which often unfortunately are under maintenance. For me the most important thing is accessibility, so that is why I recommend Gmail.