For me I like the Ming because of the costumes, armor, and their ingenious use of gunpowder. They managed to beat the Mongols in their own game---beat cavalry with gunpowder-- and destroyed them in their homeland. And they certainly meant business, with 3400 cannons just along the Great Wall.
I also like the Three Kingdoms period, partly because of the literature, myth, heroes, characters, legends, and of course, the video games behind it. But this is probably the golden age of Chinese cavalry. Mass production of the stirrup shortly began before the fall of the Han, conveniently in time to be used in the Three Kingdom wars. Heavy cavalry would be developed, and they would last until the Tang, whose Turkish/Middle Eastern influences reverted cavalry back to being light.