I have pretty good luck with not dropping sticks, which is surprising to me.
I just try to keep my hands and sticks clean (free from usually oil) I have oily skin. We have had debates about this but if I can keep my hands dry- well I do alot better. I don't have to hold onto the sticks so tight. But some guys hate dry hands and their sticks go flying, so they blame it on dry hands.
I keep a clean towell around for the gigs and I remind myself to check my hands when I'm playing. There are fulcrum exercises that you may practice also. I used to do a bunch of these, I don't know if it helped or not, but my teacher at the time said it would.
Basically you put the stick between your thumb and first or second joint fulcrum (I play somewhere between them usually) and let your other 3 fingers stick out (which is a BAD HABIT and
should only be done when doing fulcrum exercises)
Now, here is the easy part- bang out some eighth notes and keep your fingers out of the way. You can get fancy with it and set up a click and go thru some subdivisions if you want but just relax your arm and let your fulcrum, thumb and forefinger do all the work.
It looks dumb as heck but it helps. You want to use your fingers as much as you can the rest of the time.
