Regarding battery life.
1. Check your brightness. The higher you set this, the less battery. 45 to 50% is high enough for most people. I do around 60%.
2. Is your Bluetooth on? If it is and you don't need it to be, turn it off.
3. Regarding LTE, I would just as soon leave it on. The exception being if I am in an area of a city that I know has no LTE coverage.
If you want to know what kind of life you are really getting, just charge the phone over night. In the morning mark the time you take it off the charger and then use it for the day as you normally would. Don't go out of your way to use it more heavily as this will throw your numbers off. Watching that little meter at the top of the phone like a hawk doesn't do much good. It's just a best guess from the phones software.
Regarding battery life, you also have to be realistic. I won't name names, but in the iPad 3 thread someone was bitching that the tablet didn't last over 9 to 10 hours and that he thought it sucked because of this. The time he was getting was within the range Apple promises users and thus should have been expected. From my experience, Apple's one of the more honest companies out there when it comes to promising battery life. They have even been known to undersell this, on occasion.