If it was from the grocery store it would be a Phoenix
Dactylifera (true date palm). The variuos other "date" palms do not produce edible fruit (to my knowledge).

Okay, this tree, then is tolerant to the weather here in Savannah, GA.

i don't know, I believe they are zone 9 or 9b. Remenber though they are a desert palm and like hot dry conditions. i do not think they would surevive outdoors in a cool wet winter. I germinated a few last year and two died when i had them out in a couple of cool rains. The last one I have I will only allow to see rain the the 70s.

Your temps should be fine in Savannah. They grow them in Baghdad, as you can see on the nightly news. They had a cold snap this year with snow, and it looks to me like the trees survived. I'd worry more about the humidity than temps and (as andyandy says) extended dampness in the winter.

Phoenix dactylifera grows well here in Central Florida...more and more malls, condos etc are using them but it's much too humid here for them to produce usable fruit. The dates rot on the palm before they mature.

Ditto to the above observations, as they say, "it's not the heat, it's the humidity". As long as you're not planning to go into commercial date farming, give them a try. (Though, aside from the problem with the fruiting, I thought the foliage of dactylifera and canariensis experience more problems with various blights in very humid climates.)