Some good advice. I don't know of too many folks that have tried to move a BB32 up that many steps, but it's gonna be a bitch! I moved a 23 up 7 steps, using a ramp, and it took 5 of us!
At least 3 sheets of 3/4 plywood for the gravel part. Your wife would be a good choice to leap frog the plywood. Once you get it rolling, inertia is your friend. Recruit at least one other person to help.
Not meaning to insult your intelligence, but for a BB32, you should remove all the accessories from inside the KK, except for the firebox. Every pound helps.
I had my deck specifically fortified where the KK sits when I had it built (again, it's a 23), so I like the idea of putting your 32 on its own pad on the ground versus a standard deck construction. I seriously doubt that your homeowner's insurance will cover the cost of rebuilding the deck and replacing the KK if it collapses.