This subject came up once before, and I'll offer the same advice I did before.
I've got both inertia and collet type pullers, which I use for jacketed bullets. For cast bullets, I prefer to pull them with end nippers, as this is the fastest.
I do this by installing the proper shell holder in a press with no die, and raising the cartridge so the bullet protrudes above the press frame, grasp it with the nippers right at the case mouth, and lower the ram. The bullet pulls out with almost no damage, and the powder charge isn't spilled. I've had to throw away very few bullets, the slight marks are almost completely hidden when they're crimped back in.
The only cartridges that will not work, are ones too short to protrude above the frame, and they can be done with extended shell holders.
The type of end nipper is important, it has to be the old farrier-style, not the shoemaker-type mostly seen. I've shown three in the photo below, the short red one in the center is the old one I've been using for many years to pull bullets. The one on the left is a new Diamond brand available in hardware and farm supply stores. The one on the right, is a modern Craftsman of the type that is not able to grasp the bullet, save it for pulling nails and cotter pins.
Morgan