Thanks to mighty Google, now you can get FeedBurner Stats Pro and MyBrand version free of cost.

MyBrand is a premium FeedBurner service that allows publishers to showcase their feeds by serving them from their own domain. For example I can now use rss.theos.in instead of http://feeds.feedburner.com/ComputerTechnologyAndOsBlog

You need to setup a CNAME which is nothing but an alias or shortcut from one Internet name to another.

To get MyBrand:

a] Sign in to your FeedBurner account

b] Click My Account

c] Click MyBrand, enter your domains and activate

d] Just send email request to them

More information

MyBrand Overview and FAQ
MyBrand TechSupport FAQ

Thank you for making service free for all of us :)