Even if I've been using LTE for a while... it seems faster on the iPhone 5 for some reason. I am really happy with AT&T LTE coverage over my Verizon LTE in San Diego. At least LTE works at my house... which I don't get with Verizon.
On a different topic... it's been 48 hours since I last charged my iPhone after restoring as new, and I still have a little over 50% battery power left. I have wifi turned off, so it's been on LTE/4G the whole time. Keep in mind I mainly use my iPhone as a phone and email. I moderately browse the net. My batteries didn't do as well when I restored from iCloud.