I always try to start with the "why" (a dear friend bought me this book, recommended: http://www.amazon.com/Start-Why-Leaders-Inspire-Everyone/dp/1591846447).
She said "cloud!". I said "OK!".
I conducted a short research, found many things in many places all over the place, brought them to a nice email I sent her back and then thought I'll post it here and make it public as it might be useful for us all. If you feel that I missed something, add comments, send feedback.
These are the leading tools to do the actual migration of the data structure, data export/import, sprocs, triggers, etc.: