Microsoft Tech Evanglists in the US are posting a series on Azure called Hybrid Cloud for IT Professionals. The link to it is http://blogs.technet.com/b/it_pro/archive/2015/03/07/the-hybrid-cloud-and-the-it-professional-the-blog-series.aspx?linkId=12794611.
Azure is capable of many things. I use it to host websites and also use it to host some of my own domain controllers and some of my ADFS infrastructure. Learning to schedule how to turn off resources when not needed is a skill that will help you save money using Azure as well.
I find Azure is a great tool, helping me deploy things quickly but I find not all customers are able to take advantage of it. Some have regulatory hurdles (data sovereignty) and some just don’t have the man power or knowledge to do that. If you find you are the latter, get in contact with me and I can help with that.