AnimeLab will be continuing for a while, to give you some time to head over to Funimation and get started. We plan to keep the AnimeLab app operational for a while before we retire it, but we hope that users will quickly embrace the Funimation app as your go-to place for everything anime including the latest simulcasts, news and exclusive content!
Unfortunately this won’t be migrated across, it will only be the subscription that you are able to link. However you will continue to be able to use AnimeLab for a limited time and continue where you were up to in the series you are currently watching.