Sadly, Galaxy Nexus doesn't have an SD slot. Here's MY plan (subject to vast improvement, of course):
Copy all pictures, videos and the ENTIRE Android/Data folder to the PC.
Format the new SD card IN the Note 3.
Copy all pictures, video and the ENTIRE Android/Data folder to the Note 3.
100% foolproof? Not a clue: never tried it.
Now if the Note 3 gets rooted quickly (and I sure hope it does), then I'll simply make a backup of apps & data in Titanium Backup on the Nexus, transfer that backup to the PC (or to the cloud), and then to the Note 3, then restore it.
If anyone else can think of a better way of getting app data to the new phone, I am open to suggestion here big time