I've flown that trip perhaps a dozen times in helicopters. It is a great adventure, there are several tips, but most of the journey is straightforward.
The passage through the west can get mighty boring if you just clear westward through Texas, New Mexico and Arizona. A passage west from WV through the Ohio River valley, then St. Louis, then through to Kansas to Colorado, then southwest along the foothills of the Rockies through Colorado Springs, Pueblo, Durango, CO then Mesa Verde National Park, then Glen Canyon, then the Grand Canyon. Cut down to Meteor Crater, then jump the high passes near Needles California into LA.
Bring a good camera, a pocket full of loot for the great barbecue joints and mexican restaurants, and you are all set!