Making the limbs taper from the handle out rather than starting the taper in the outer limbs will change the thickness taper you need to accomplish. I have not read through the tutorial at the other site, but generally speaking, by tapering the full limb, your thickness taper should be flatter than the previous design. Once you get the bow bending a bit on the tillering tree and post some pics of your progress, folks will be full of advice concerning where to make it bend more or less.
I find that floor tillering the traditional way is an acquired skill, so I would put a string on it fairly snug for length, without trying to bend or brace it at all. once the tips bend 3 or 4 inches with a weight hanging on the string (equal to the intended finished draw weight), you might start trying to flex it with in the floor tilller method, just to see the difference in methods and gain experience.
maybe you already have, but if you post the bow length and width and intended draw weight and length, folks will also be able to offer an educated guess if you really need to plan on a backing.