I've had to move with a safe, across state lines etc, numerous times. Up front, I don't want to sell my safe, its the old school dial kind from American Security & I don't want one of the newer kinds with a key pad as my primary safe. (I'm old school, see also: my comment on the Texas Monthly BBQ list)
So, definitely lay your guns on the truck floorboard as best you can, lay a blanket between the layers of guns. I've had to put the safe in a Uhaul, laid flat & pulled it that way. Put a piece of cardboard under it between the safe and the floor but also secure it so it wont' slide around.
Sleep in your truck if you have to, but do not leave them unattended. If you are going through a serious blue state, for Gods sake do NOT announce to people that you have them, I don't care what the law says.
Take them into your new abode after dark. WAY after dark.
Edit: if you have to hire someone to help you move it once you get there, the correct answer on how much it weighs is, under 400lbs. Some moving companies don't touch anything more than 400lbs.