I would start with the caveat that the Note 3 is expected to be announced next month and probably would be out in October if the past is prologue. You might want to be patient and see what Sammy has up it's sleeve for the new Note.
That said I LOVE the Note 2. I have had smartphones since the BlackBerry 7520 and I think the Note 2 is my all time favorite, bar none. It does it all. I think it all boils down to can you handle the size. I am like you a big guy 6'2" as well, with big hands and I have no trouble wielding my Note 2 around. Occasionally you have to slide it up in your hand for one handed use but you learn the trick easily.
The other thing is the screen the GS4 is 1080p while the Note 2 is 720p. For most things I never notice, but occasionally I would like a sharper screen. I am sure that's one of the things the Note 3 will update.
The bells and whistles the GS4 bring to the table aren't that interesting for me and many of them the Note already has, I hope we see the rumored update the 4.3 (most likely not until after the release of the Note 3) and that could bring along more of them when that happens.
The GSM Note 2 is very easily rooted if you are into that sort of thing, the Verizon requires a little more work. There is some nice development for the Note and the CM10.1 nightlies work really well already.
I think once you had the bigger screen you won't ever look back. JMHO.