I have 2 patches of persimmon tress on my property. I cleared all of the other trees and brush from the area to give them more room. Would 12-12-12 be a good fertiizer to put down? And should I broadcast it over the area or put it in holes around the drip lines of the trees? Just trying to help out Mother Nature.

Put it down around the drip line. That where the trees get most of the nutrients from.

The shape of 'Fuyu' fruit is flattened, 'Maru' is rounded, and 'Hachiya' is heart-shaped and pointed at the apex. 'Fuyu' is the most widely planted cultivar in Japan and is noted for its nonastringent fruit, good yield, vigorous upright growth habit, and ease of training. 'Maru' has somewhat brittle branches, and the fruit is astringent, maturing about three weeks earlier than 'Fuyu'. 'Hachiya' fruit is also astringent before softening. These and most other cultivars bear only functionally female flowers (with stamens present but sterile) that without fertilization produce seedless (parthenocarpic) fruit. In Japan, these flowers are sometimes hand-pollinated with pollen from varieties that bear male flowers. Growers there believe that pollination helps to produce better fruit and that parthenocarpic fruit tends to drop prematurely. Handpollination is not practiced in Hawaii.
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Persimmons tend to need very little nitrogen for fruit production, so something such as 0-20-20 would be a good choice. If you use a fertilizer with N, it typically just goes toward the growth of the tree's competition. I'd also suggest focusing on the female (fruit-producing) trees for fertilization. Grass control with a grass-selective herbicide may be another viable option for you to increase your persimmon yields.

For several years i have fertilized some wild persimmon trees on our places with 5-10-10. It did not make any difference in the size of the fruit. There may be some additional yield.

I would stick with a 5-10-10 also. too much nitrogen can lead to excessive leaf and branch growth which can lead to damage/breakage during storms and high wind situations. There is also evidence that high nitrogen in plants tends to draw non beneficial insects to feed on them, whch can lead to disease.

I was thinking of planting a few persimmon trees. Possibly some native and hachiya. Not sure how many the deer will get though, I love them as much as they do!