Moving Blog to new URL

We’ve revamped our blog and with that we want a new URL, but one thing that I notice is that all of the blog entries are using the old URL. I’ve also notice that when I got to log into the blog using the new URL (shaftnetwork.com/wp-admin) it redirects to the old URL (animeshaft.com).

I have until the end of November to get this sorted out before the old URL expires. Is there a way to change everything to use the new URL rather than the old one or am I stuck with it?