Microsoft have created several Videos, describing the benefits of why Windows Azure Virtual Machines is the best place to run SharePoint 2013
SharePoint is the new way to work together. Watch this video to learn how your organization can benefit from running SharePoint on Windows Azure Infrastructure Services.
Microsoft will walk you over hosting a public internet site and taking advantage of Windows Azure’s built in load balancing capabilities. You will also learn how you can easily expand a web farm using a combination of base images and Windows PowerShell when you need handle increased demand and traffic.