Phew, you've got quite a bit of work to do, but you'll manage it. I helped another beekeeper deal with something similar last year. Two pairs of hands made it a lot easier and quicker - can you get somebody to help you?
Keep your smoker lit, it might also help to have a brush handy.
Masking tape works too, just wrap it a couple of times round the frame - vertically - a couple of times along the length of the frame. If it doesn't stick you can drawing pin it in place. By the time they chew it out they'll have attached the comb to the frames.
We did something like this (I may have forgotten something important, hopefully somebody else will notice if I have) :
Move the whole box to one side. Place a new floor and brood box in the old location, sides of the two boxes touching each other - you'll drop fewer bees onto to the ground, and there's less risk of losing the queen if you haven't been able to find her. The flying bees will (should) go to the new (empty) box, so you'll have a few fewer bees on the comb.
Carefully and slowly tilt the 'old box' backwards (away from you), in line with the way the comb runs, until it's upside down. Detach any comb from the sides of the box with a bread knife or something similar. Then see if you can lift the box away from the roof. If you're lucky you'll be left with a row of comb pointing upwards, but if any topples sideways it should stay within the roof.
Gently detach the piece of comb that's nearest the empty box and fasten it into a frame. Place in new box - against the side furthest away which will help you make sure they keep the same orientation as in the 'wild' box. Keep going until you've moved all the comb, then shake or brush all the bees from the upturned roof into the new box.
Crown board on. Roof on. Done!
There may be better, and more efficient, ways of moving the comb.