It's a dogfight battle between the Samsung Galaxy Note 3 and LG G2, both of which are available on multiple carriers (including Verizon Wireless, as seen in the video).  The Galaxy Note 3 offers a 2.3 GHz quad-core Snapdragon 800 CPU, 5.7-inch 1080p HD display, 3 GB of RAM, 13-megapixel camera with 4K HD recording, 3,200 mAh battery, and Android 4.3 Jelly Bean with TouchWiz.  The LG G2 sports a 2.3 GHz quad-core Snapdragon 800 CPU, 5.2-inch 1080p HD display, 2 GB of RAM, 13-megapixel camera with 1080p HD recording, 3,000 mAh battery, and Android 4.2 with LG's UI.

They're both powerful phones with a number of great features.  The unique design and placement of the power and volume rocker buttons make the G2 worth considering, while the Note 3's S Pen and associated applications are fantastic.  Which one offers the best balance of everything?  Part 1 of 2.