Large circle hooks rigged on steel leaders are the most popular terminal tackle for bagging sharks. Sharks cannot only cut a line with their teeth but also with their skin, which is sharp in its own right. One quick slap of the tail can cut even heavy duty line with no problem. For targeting blacktips and spinners, my personal favorite chumming method involves bringing along a bucketful of small menhaden, grabbing a handful and squeezing.
Some of them will float, others will sink quickly and others slowly. This creates a feeding frenzy situation with sharks that can allow you to sight cast to them with cut bait. The ideal setup for this kind of fishing is having one bait on the bottom for species like bull sharks and Atlantic sharpnose and a couple of free lines to get the species that feed in the upper level of the water column.
What is your favorite method for bringing in sharks?