I've only made three bows but I don't shape the handle, at least the bottom, til I'm pretty much done with tillering. Seemed to make sense as I was learning.
I did the opposite while learning and used to get all excited about shaping handles and do it too early, sometimes even rough shaping handles into green staves while reducing them for drying. I FINALLY learned to just leave them full width, or just barely carve in from the sides to prove to myself the flare at the fadeouts was going to work. So now a I usually do this.
My cradle is a 2x4s with a square notch cut in the end and reinforced with screws that hold it to the wall. It either holds them well, or I slip in a shim beside the handle.
The other thing I do is my version of floor tillering. I'm not good at traditional floor tillering; I can tell how much the limb is bending, and can tell if they are about even, but I can't guess poundage, and I can't see where the limbs are bending differently. So, I have an old cup-ended bowstringer, and before I even get to the tree, I often slip that on, put my foot on the stringer, and pull up a few inches on the handle. Looking down, I can see major differences in the limbs and get a clue about where poundage is, and I can quickly flip it and have a look at both sides.