Washington D.C. Code
22-4504.02. Lawful transportation of firearms.
(a) Any person who is not otherwise prohibited by the law from transporting, shipping, or receiving a firearm shall be permitted to transport a firearm for any lawful purpose from any place where he may lawfully possess and carry the firearm to any other place where he may lawfully possess and carry the firearm if the firearm is transported in accordance with this section. (b)(1) If the transportation of the firearm is by a vehicle, the firearm shall be unloaded, and neither the firearm nor any ammunition being transported shall be readily accessible or directly accessible from the passenger compartment of the transporting vehicle.
(2) If the transporting vehicle does not have a compartment separate from the driver's compartment, the firearm or ammunition shall be contained in a locked container other than the glove compartment or console, and the firearm shall be unloaded.
(c) If the transportation of the firearm is in a manner other than in a vehicle, the firearm shall be:
(1) Unloaded;
(2) Inside a locked container; and
(3) Separate from any ammunition.
And as far as VA goes....
18.2-308. Personal protection; carrying concealed weapons; when lawful to carry.
A. If any person carries about his person, hidden from common observation, (i) any pistol, revolver, or other weapon designed or intended to propel a missile of any kind by action of an explosion of any combustible material; (ii) any dirk, bowie knife, switchblade knife, ballistic knife, machete, razor, slingshot, spring stick, metal knucks, or blackjack; (iii) any flailing instrument consisting of two or more rigid parts connected in such a manner as to allow them to swing freely, which may be known as a nun chahka, nun chuck, nunchaku, shuriken, or fighting chain; (iv) any disc, of whatever configuration, having at least two points or pointed blades which is designed to be thrown or propelled and which may be known as a throwing star or oriental dart; or (v) any weapon of like kind as those enumerated in this subsection, he shall be guilty of a Class 1 misdemeanor. A second violation of this section or a conviction under this section subsequent to any conviction under any substantially similar ordinance of any county, city, or town shall be punishable as a Class 6 felony, and a third or subsequent such violation shall be punishable as a Class 5 felony. For the purpose of this section, a weapon shall be deemed to be hidden from common observation when it is observable but is of such deceptive appearance as to disguise the weapon's true nature.
Hope this helps a little.