Yesterday was published a preview service that you may have been waiting for. Would you like to move data faster to your awesome OneDrive for Business?
Would it be great to find out a quicker way to migrate content that you have on premise or that you have sanitized from your fileshares?
Take a look at Office 365 Import Service if your are in the described regions you can use this preview service.
From there you can check the steps to set it up https://technet.microsoft.com/en-us/library/mt210445.aspx