what iphones can have lte on verizon network
With Verizon LTE Advanced, you can get the most out of your new iPhone 7 or iPhone 7 Plus on the next gen network. Available in 461 cities from coast to coast, Verizon LTE Advanced gives you 50% faster peak wireless data speeds and is available in loads of less-served places including highways, interstates, country roads and rural America.
The iPhone 5s models A1533 (GSM) and A1533 (CDMA) support the LTE bands that both Verizon and T-Mobile use. So you would be better off going for the iPhone 5s CDMA [Model A1533 (CDMA)] on Verizon and then move to T-Mobile.