If you are going to do this at home, be SURE to use a GOOD penetrating oil (I like Kroil) behind the bullet first. Don't try to drive it out dry. A hardwood dowel might not be up to the forces involved. I would use a brass rod first. You could use a cold rolled steel rod, but you would need to chamfer the end that will drive the bullet. Radius the sharp edge, and polish it well. This will minimize the chances of scratching or scoring the bore.