Cell phones with the best cellular reception are without exception phones on Verizon's network. Verizon uses CDMA technology, which runs on a 850MHz frequency. Smaller MHz frequency offers better reception and is able to penetrate buildings and reach remote areas much more effectively.
Cellular phones that offer the best reception include the iPhone 6 and 6 plus, which sport 16 LTE bands, the Moto X, LG G3 and the Galaxy S3.
To maximize cell reception, users should in some cases stay still. The environment between a cell phone and the place a phone is communicating to (like a telephone pole, the first stationary receiver) work as a filter to the signal you are transmitting and receiving. The device and the receiver come up with a "counter filter" to reverse this effect. This is done many times a second, but if there is motion, it has to be done more often since the environment and the filter it creates change.
Users can also increase coverage by gaining altitude. Users should either rise in elevation to be clear of obstructions or move around the obstructions that are present. If in a valley or at the bottom of a hill, users should rise out of the dip in the landscape for an increase in coverage.