All of the above.
The South Shore of Long Island is abundant with tuna, the three target species we go for are blue fin, big eye and yellow fin.
For blue fin we troll lures and rigged baits, we jig, we cast top water and sinking lures, we also use live or dead bait on anchor or drift. Yellow fin is mostly trolling during the day and chunking day or night. Big eye tuna we troll mostly but sometimes we jig and you can also live/dead bait drift, big eye tend to stay deeper in the water column down around 200 to 250' so they need to be brought up or get baits down to them, where the other two feed on the surface regularly.
There are sometimes other tuna mixed in as well like albacore, false albacore, skip jack, little tuna and bonita. Most are considered bait fish unless we run into true Albacore. While fishing for tuna we also can land other species like Mahi Mahi, white marlin, swordfish, wahoo and a few others.
Sharking is just drifting and dreaming with chum. Hook bait can be anything from whole live or dead bluefish, mackerel, small tuna or filet of anything bloody and oily.
I can go on for days, but I highly recommend for a trip of a lifetime you guys try the North Atlantic fisheries, it's Epic and I have fished many many places.