When you first place the hide strip or strips on the back use some masking tape applied by holding the strip across the center of the handle and pull both sides of the tape down equally and cross the tape on the handle. This pulls the hide to the bow without putting any side to side twist to it.
Do the same at the tips. Then you can wrap from the handle out with a spiral to the wrap without skewing it to one side. Do the first spiral out to the tips fairly gently and then come back down the limb to the handle a bit tighter.
Do the same with the other limb.
As you get your warp closer to the taped sections you can pull them off and just wrap those areas with cloth. They are just put on as a temporary hold.