Licence transfer is simple. Just call up Nintendo and say you lost your original system in your house and that you're tired of looking and just want to play your games again. They'll tell you that you won't have access to your saves, you tell them that's fine. Then all they ask for is your NNID (that really surprised me, anybody could do it really) and boosh, your NNID is unlinked from your current system and free to be setup on any system you want.
Source: Personal experience
Now, if you want to keep your saves, another option would be to make a new emuNAND with all your content on, update emuNAND to the latest firmware and just do a normal system transfer via that.
So there, two options for you.