The only cents from 1960 that have value is the 1960 small date Philly, and the 1960 D small date over large date. The 1960 large date, the 1960 D small date the 1960 D large date are all common. No, you should not get your coin graded. I show 1960-D large date in MS at .30 cents. But there's really no market for it. That would be retail. If you think this is some MS 67 coin, go ahead and roll the dice. It's a very nice coin and I would absolutely keep it. Someone probably had it in their collection (condition) and after 60 years finally gave up on it being worth anything and spent it.