In my area I get 2-30 mbps down and .2-5 mbps up. Ping is 40-300 ms. Last fall my 200 kbps average dl bumped up to 600 kbps with occasional spikes to 1.4 mbps. My wife got an Iphone 5 a couple of months ago and it gets and holds LTE well. Handoffs are smooth and has not seemed to need to toggle. It will not get LTE at my house though and I've never been able to get Wimax here either (150 yards away but not here). I got a GSIII on Black Friday and was susprised to get a weak LTE signal in my house 2.5-6.5 mbps dl. The signal is not stable. It will go 3G/LTE and back but stays LTE most of the time. I can toggle it to LTE, but generally don't have to. I live in a mildly hilly terrain and yesterday I climbed up on the roof (I know, it's slightly obsessive, but I had to know) and got a stable signal and dl of 7-9 mbps. The den to roof switch changed the RSRP from average -114 to -107.
I know that's a longer answer that you asked for, but I wanted to share my experience with everyone.