Okay, I'll try to help out here
! Just to remind you that in this slow and heavy series, we are actually going to come down a little bit in weight as to what you would typically use one a heavy lifting day. For instance, if you would normally lift heavy doing three sets of ten with a 15 pound pair of dumbells for bicep curls, you will now most likely do your first and second set with 12's and find yourself even having to go to 10's for your third set. The slow lift plus slight tilt of your body really exhausts your muscles. I will always be telling you what I am using in the tapes but encouraging you to select your own weight. Because some days we are stronger than others, have a variety of weights handy so that you can quickly switch if you find the weight you selected proves to be too heavy or too light. You will witness me doing this a couple of times within each workout.
Most likely you will start out lighter on many of the flat back, dual arm, exercises because you may not be used to calling upon your lower back muscles in this manner. When I first started training like this, it took some getting used to because I was not sure my lower back had the endurance for this kind of isolation. Well, I kept my weights light and focused hard on my form. In about three weeks I was completely hooked and many of my lower back quirks vanished. After that I was able to go heavier too. (side note: You may even find it hard to lift at normal rep speed after doing this for a while since you will feel exceptionally connected to your muscles at this slow pace.)
Now for your direct question:
The dumbbells that I used for LEGS ranged from 15's to 25's with the one exercise, plie squats coming in at 40 pounds. I would suggest holding off on buying that bad boy until you see if you need it.
The dumbbells that I used for SHOULDERS ranged from 25's down through 5 pounds on that last rotator cuff exercise (hmmm, I even remember thinking that I wished I had 3 pounders with me for that exercise that day). I think the 8, and 5's were the most popular choice on the majority of the shoulder exercises. These lighter weights are on the dual arm bent over exercises.
The dumbbells that I used for CHEST ranged from 25's to 15's.
The dumbells that I used for BACK were 25 or 20's down through 8's. Hand and wrist weights were an option for the superman exercise too. The lighter weights here are on the dual arm bent over exercises.
The dumbbells that I used for TRICEPS were 20's down through 10's or 8's. The lighter weights here are on the dual arm bent over exercises.
The dumbbells that I used for BICEPS were 20's or 15's down through 12's or 10's.
I hope this helps!