Although Microsoft Sharepoint is different from My Docs Online in scope and application (it’s usually used in company intranets) it often comes up in customer conversations. Or more often in conversations with people who call/chat/email to ask about Sharepoint because we often come up in searches related to Microsoft products and technologies like Sharepoint, which like My Docs Online includes Web Folders support.
If you are looking for a Sharepoint migration tool you should take a look at Sharegate, which just had its second anniversary.