Hello, 

I've been using Google Apps for emails for my custom domain. Now with recent changes in Outlook.com I'm highly impressed with their new email service & would like to move to Outlook. I'm not looking for premium Office 365 email options. I'm investigating option for managing my domain using Windows Live at domains.live.com but my concern is moving my old data. 

How would I move my old emails to Outlook.com server? (currently i'm using Google Apps for Business)

Thank you.