You must move *everything* from your Wii to your Wii U. There is no pick and choose on this.
Just make sure to tidy up your Wii fridge before bringing its contents over to Wii U!
PSA: This might be a good time to remind everyone that you can filter stories here on the site, especially if you are hoping to avoid spoilers of a Hyrulian nature. This is available only to registered members.
Edit Profile > Custom Filters > Games Type "breath" or other keyword to find a game, and make sure it says "Exclude".
Bam. Media blackout on that until you tell us otherwise.