You may register domain name at any domain registrar and make it redirect to your blog - such as: dynadot.com name.com godaddy.com
Hi There, You can actually do this right in your dashboard of your blog. Just do the following. settings -> Publishing -> and right around the area that states "your domain" look for purchasing one. They will do the rest for you. Very nice route to get your own domain.
Register a domain name and change it's CNAME to "ghs.google.com" without the quotes. now go to your blogger settings > publishing > custom domain > enter your domain and click save. that's it!