I had the AT&T Note 3. Complete waste of what could have been an awesome phone. Samsung is finished in the Dev Community because of Knox.
I switched to LG G2, though the screen isn't as big as on the Note 3, G2 has the HD IPS screen and it looks so much better than the PenTile screen on the Note 3.
Both phones are equally fast.
Takes a while to get used to the buttons on rear of G2.
Knock On/Off is a nice feature.
Camera takes awesome pictures and can take them in rapid succession. Multiple face tracking. Color effects.
You won't regret the switch.