The Note II is hands down the best phone I've ever owned. The size will be odd for a day or two and then you will never.go.back.ever.
battery life is allll day long, screen is awesome. the Note III is even better.
don't sweat the size, I got used to it in a day and now any other phone feels like a tiny, hard to see toy. If you use your phone as more than a phone, movies, work, email, browsing, the Note phones are killer.
for comparison, have owned:
iphone 4, 4S, 5
Motorola Atrix
Samsung Galaxy SIII
Edit: to address the previous poster's comment about touchwiz, the launcher is completely replaceable with any launcher you like, and it's easy to do. I am running a custom ROM (cleanROM ACE 5.0 that took about ten minutes to install, allows for different launcher than touchwiz, and removes all factory loaded add-on software. It's pure android. It's very easy to do, I've never done it before and it took about twenty minutes of reading directions, and about maybe 10 to do including copying the ROM over to the memory card on my laptop.