if your moving addresses,across state lines and driving there, just unload it, and place it in a locked gun case put the gun case in your cars trunk and drive to your destination, its that simple.
now youll obviously want to look up the destination states laws/registration requirements etc. but whether you follow those is of course your choice and responsibility
but federal laws fairly clear
http://www.nraila.org/gunlaws/federal/read.aspx?id=59
http://www.handgunlaw.us/
http://chris.cc/firearmstransport.htm