After doing a ton of research here, on xda and rootzwiki, the best glass screen protector I came up with was the .15mm Icarez. Its fantastic. No halo effect, fairly easy to install, and they even give you a "kit" to remove dust and relift the screen if you mess it up at first.
And I absolutely loved my UAG case on the Note 3 and it was must to get another one. It has a great balance of durability without being exceptionally bulky. Extra padded corners and rear back, solid grips, it feels industrial strenght.