well, you'll need double tanks and you'll need several stage and deco bottles (at
least one of each). you'll have to rig the deco and stage bottles so you can clip
them to your harness.
each bottle takes a regulator, of course, and you need two for your doubles (so that's a minimum of four regs). each bottle takes an SPG, so that's at least two.
to dive the doubles, you'll need a backplate and a doubles wing
you don't want to haul all this weight around with a wetsuit, so for safety,
you should get a dry suit (for redundant lift in case your wing fails).
i would also get a Trimix compatible computer, to use as a back up in case
the planned dive goes to hades. a second, back-up bottom gauge/timer is
nice.
you'll also need a lift bag.
i think that's about all the major components