First off thank you so much for your service!!!!
I use a cannon vixia HD vid camera....its small but takes very good quality video. I use an external mic setup that gives me better audio. I keep it on a tripod most of the time so I can just set it up when I need it. I also use a GoPro along with my video camera. As for editing, I am a Mac guy so I use Final Cut Pro....it will do everything you want/need to give your video's a solid professional look.