Hi JJ in Atlanta2,
I understand you’d like to copy the SharePoint 2010 user profiles to Office 365 environment. Based on this requirement, the hybrid environment infrastructure needs to be configured. As it is from on premise SharePoint 2010 rather than SharePoint 2013, you might have to choose domain federation level. You can refer to the following article for more information.
http://technet.microsoft.com/en-us/library/dn197168.aspx
Regarding the detailed migration steps, as it is related to on premise environment settings, I’m sorry that we have limited resources and support for such configurations. I’d like to involve our MSDN support into this issue and suggest you post this issue in our MSDN forum. The engineers and community members there are more specialized in such on premise configurations and migrations. After you post a new thread there, they’ll be focusing on it and this is so the issue can be resolved efficiently. The forum address is provided below. Thanks for your understanding.
http://social.msdn.microsoft.com/Forums/en-US/categories
You can click Ask a question to open a new thread there. I hope you can have a perfect migration for the user profiles.
Best Regards,
Kevin Cui