I have an azure website which is named:
http://myapp.cloudapp.net
Of-course this URL is kind of ugly so I set up a CNAME that points
You might want to instead use the IIS rewrite module (seems "cleaner"). Here's a blog post that shows how to do this: http://weblogs.asp.net/owscott/archive/2009/11/30/iis-url-rewrite-redirect-multiple-domain-names-to-one.aspx. (You'll just need to put the relevant markup in web.config.)
An example rule you could use is: