You should take the time to visit Colonial Williamsburg.
The Governor's mansion has a particularly nice collection of weaponry from Cutlasses to Flintlock guns.
Their armory is in a different place - which is where they stored their communal gunpowder.
From Lexington, the Brits marched on Concord, MA where
"The Massachusetts colonial assembly responded to these provocations by directing townships to ready their militias. War was coming, and Boston’s patriots were preparing for it.
The British were preparing, too, and in April 1775, they directed Gage to disarm the rebels. Gage ordered Lieutenant Colonel Francis Smith to gather 700 British Army soldiers and march to Concord, where the rebels were reportedly storing mass quantities of arms and ammunition. Their orders were to find the stash and destroy it."
Not a standing army per se, but the Colonies did have militias with communal stores of arms and ammunition.