Best method to apply an screen protector is :
Gather the stuff in your room before going to sleep at night , besides the screen protector kit include a transparent glass cleaner spray (not necessary but useful to be in spray) and a extra clean cloth and gloves (if you have hairy hands).
Then next morning as soon you wake up and before you open any door or windows, get your phone, clean carefully, place the screen protector at its ideal position then hold at its ideal position with tape (some kits include if not your case get tape before gather in your room) and then apply generous glass cleaner liquid enough to cover all the screen surface under the protector and the screen surface, but not too much as this could drain into your phone, then apply the screen protector on the wet surface, remove air bubbles and Woallah your screen protector it's perfect.
I used to be fan of Otterbox products but lately don't offer the best protection for that bulk if you are really concerned on protection other choices are better (and maybe cheaper too).
I use Speck candy shell on my note 2 and I have ordered (delayed at customs) an Spigen armor lite view for my new S4.
As screen protector I avoid glass based I prefer Buff brand (layered polycarbonate and soft polyethylene) are cheap (at least I find it cheap in my neighborhood) and offer and outstanding protection and I replace it every 3 months w/o complaint.
Sent from my GT-N7100 using xda premium