I totally get what you are saying, do the same myself. I have often thought the same thing, maybe I'm not gripping hard enough. To me it feels like I am. I am always dropping my keys, used to drop my cellphone (I have taught myself not to carry it in my hand), I drop dishes, silverware, and such. It can be very aggravating at times, especially when you drop something, pick it up and drop it again.
As for something to use on the hands, I had not thought about that.