what domain name for a blog?

[Jake]

Don't waste valuable space with a 'vanity' name, make it somewhat descriptive of the content this gives prospective visitors a clue an can help search rank a bit, you might resell it one say as well. The Bulk Search link under the Godaddy Find Your Domain tab allows you to try a list of name ideas at once.

There are sites with tools that help you come up with fictitious names, including: wordlab.com, naming.net, wordoid.com, lingzini.com, namestation.com, some of these tools look up the domain name availability as you go.
Any name not already used in a .com web site name is probably not trademarked.