I found the Microsoft page to be unclear on the actual steps of moving existing Azure SQL Databases to the Elastic Pool.
I wrote this paper to explain the steps, how to assign existing databases to the pool (from the Elastic Pool side), and preserve the existing SQL Server connection strings. That's critical to avoid recoding and testing all the applications that may be dependent on the databases that are moved.
http://fmsinc.com/microsoft-azure/sql-server/pooled/index.htm
Note that the pool only applies to one server, so you can't combine databases from multiple servers into one Elastic Pool account.
Hope this helps.