The two common types of persimmons are Hachiya and Fuyu. Hachiya tastes "furry" if eaten before it is fully ripe, and but once it is very soft, it has a sweet and delicate flavor. Fuyu are best eaten when firm, like an apple.
Choose persimmons that are smooth, brightly colored, plump, glossy, and well-rounded and with their leaf still attached.
Avoid cracks and bruises.
Yellow patches usually mean that the fruit is unripe.