Google-Takeout
Use Google Takeout to backup data for import into a new gmail account. Provides easy access and it easy to do. The video shows you how to archive your data.
To import email into a new account, you can follow the steps here http://www.louisachan.com/google-takeout-emails-import/
To import email into a new account, you can follow the steps here http://www.louisachan.com/google-takeout-emails-import/