I moved a desktop from Illinois to BYU (Utah) for my son once. We did lay it on its side to reduce ware on the CPU cooler. A little padding wouldn't hurt. Blankets would be nice.I wouldn't move one of those old tube monitors. I figure most people are using a flat screen by now. wouldn't want to hit a lot of potholes either. When you get there might want to take the side off of he ATX and make sure everything is seated and plugged in properly. Especially if you are using a retail CPU Cooler.
Those HD TV's are fun to move also.
Those HD TV's are fun to move also.