Setting up CD for vNext app with new VSO build agent

I spent a day today setting up continuous deployment for my vNext / ASP.NET 5 apps. I was heading for another tumbleweed award on StackOverflow, because nobody responded to my cry for help.

Anyway - I figured it out. Check out my own answer on StackOverflow if you want to know how to do it ( right now - until it will become easier ): http://stackoverflow.com/questions/31852633/setting-up-cd-for-vnext-app-with-new-vso-build-agent/31859260#31859260