Gardenbees,
A few more things to consider:
First frost date vs when persimmons would ripen in your area. A hard freeze would damage the fruit and would limit what you can do with the fruit. You may want to look for varieties that ripen before your average first freeze.
Japanese persimmons will cross pollinate with each other resulting in fruit with seeds. This is usually not a problem and in some varieties it improves the flavor. In others, it imparts a brownish color to the flesh near the seeds. If like me, you enjoy the intense flavor of dehydrated persimmon slices, seeds in the fruit make it harder to process the fruit for dehydration. You can get around this by getting varieties that produce only female flowers. If you don't mind having seeds in the fruit, then varietal compatibility is not as important.
Some persimmons do require a pollinator so if you choose one of those varieties, be sure to purchase a variety that produces pollen.