The quickest way to migrate your on-premises OLTP database to Azure is to simply "Lift & Shift".
You create a vm in Azure and size it to match your local system and move your database into it.
This might not be the most cost effective way though and also, you still have to do all the database maintenance yourself.

In this session we will investigate how we could use more of the cloud features like SQL Database, Redis Cache, Search, etc. in order to truly scale our system. And we'll see if this increases or lowers the total cost of ownership.

This excercise is about an OLTP system but we will also look at how it affects loading our DWH from this new setup.
Presented by Andre Kamman at SQLBits XV