By the end of the war, most Continental Army soldiers were armed with French Charlesvilles- smoothbore muskets-- donated to the Colonies by our Alley, France( no friend to Great Britain).
Early in the war, many militia men were armed with Brown Besses, issued to them in the Early French and Indian War.Picking one gun over the other would be the beginning of a real argument.
Considering the war began on April 19, 1775, and didn't finish, technically until 1783, you have a lot of years to cover, and supplies of arms, powder, flints, and ball varied depending on the year discussed. By the end of the War, we had sources Here for Powder, in very limited supply, as well as sources for flints, and lead. In the early days, almost everything had to be imported.
Candidly, The Americans did not so much Win the war, as Great Britain lost it when it decided it could not afford to pay to continue the WAR. With France- its old enemy--formally allied and supporting the "rebels", it was simply too costly- in ships, men, and arms, to continue to send ships across the Atlantic to try to hold onto the colonies. Even with the victory at Yorktown, Va., The British continued to hold New York City, and Boston, until well after the Treaty of Paris was signed. And, colonial soldiers and sailors, held in prisoner of war "ships" in the harbors of those two cities continued to be starved, and allowed to die of disease until the British surrendered the Cities in late 1783. We Americans were far Kinder to those British Soldiers we captured. :hmm: