Slow internet mostly every where

I have a iPhone 5s and mostly every where I go I don't get lte, I have unlimited data so that's not the problem. The 4g is really slow the lte is fast. You guys might have the fastest lte but not a lot of coverage with cellar towers. There is a person in my home that has the same phone but has Verizon and they get fast lte every where In my home I get one to two bar of E whatever that means