Windows Azure websites will work well and may be free for a while. If the limitations of the free offer do not work for you, you can easily scale.
You can also save your home page to Azure storage, but that means users must have a full path to it, as there is no server configuration to specify the default page. Publishing your site's endpoint via the vanity URL of bit.ly or the like may make this unrelated to the problem.
Remember that, having everything in the blob repository, you assume the transaction cost for each image, each page, each script access (which are not cached in the browser). Depending on the nature of your site and traffic, it may be more economical to use something like the Windows Azure Web Site for some of them.
source share