You could try switching to oak sticks: they're much harder on the hands, but they are stronger and more rigid.
Apart from that, the usual advice is to avoid hitting the rim of a cymbal. It's bad for the cymbals as well as the sticks. If you're trying to play louder, hit the cymbal with the stick parallel to the surface, so the contact area is huge. The sound you get is just as loud if you get it right, and less bright. If you find this hard to get right, probably your cymbals are too high or too horizontal: lower them or angle them towards you, so the stick naturally lands flat on the cymbal when your shoulders are relaxed.
For rim shots on the snare drum, make sure the stick is hitting the rounded inside of the rim (as it will if the tip is hitting the head at the same time like it should). You shouldn't be hitting the sharper outside of the rim at all.