sprints LTE network is just awful in chicagoland. its not very fast at all. i have used ATT LTE, one of my buddies has verizon LTE, another buddy has tmoble hspa+. we all work for a company that has a number of stores in chicagoland and greater suburbs. and ATT polls highest for overall speeds (when using hspa+ or LTE), verizon has great coverage (doesn't seem like as much as att) tmobile has kick butt hspa+, and sprint is not the best, but its still not terrible. I got sprint because I use a just insane amount of data. and one thing i did want to point out in this thread is that current LTE networks in america are advanced 3g networks still. they arent true 4g, and i despise sprint for advertising 4g with wimax when it came out. LTE advanced is the only true 4g network, and as the US starts upgrading to that we will see just absolutely mind boggling data speeds no matter what carrier you are on provided you have coverage.
TLDR: My HTC One has LTE, so thats what i get. I would go device over network any day of the week.