Currently, there is no ability to migrate your data. The new is focused on aggregating all your most recent content from a variety of different sources. Linkedin, RSS, Viadeo, Google+, and Facebook Pages are not supported in the new app so none of this data would be accessible. Also most content is still available on the original sources to be reimported. 

Please note: This article refers to the legacy version of which is no longer available. Find answers for your questions about the current app here.