This service was formerly a premium feature that was sold separately, but after Google acquired FeedBurner, they started offering "pro" services for free.
In order to to use MyBrand, you must be able to change the CNAME entry in the DNS records for your domain. Converting a feed to a MyBrand domain doesn't actually delete or replace the old feed, so current subscribers will not have to resubscribe, and both addresses will be valid.
For more information, look at Google's Help Center article on MyBrand.

