gerrypatt on "Buying a domain - ensuring redirection"

I think I might have found the answer, but want to be clear before I press 'buy'. I have a blog now on WP (http://gerrypatt.wordpress.com) and might want to buy a domain for it, changing the url to something like 'vicious-cycle' - to reflect the name of my blog better. My main concerns are 1) anyone trying to access the old url will get redirected, and 2) the many incoming links I have to the blog will work. Is it all taken care of?
Blog url: http://gerrypatt.wordpress.com/