BB goes into shock easily when transplanted. Just be easy with it and get as much of the root system as you can. My mom thought she lost hers after moving it and was going to reclaim the garden space, but the next spring the BB returns and it healthy today. Good luck with your gardening!!
Here's some links that might help you!!
Cutting:
http://www.gardenguides.com/105918-g...-cuttings.html
Transplanting:
http://www.gardenguides.com/96930-tr...rfly-bush.html
Shannon
(Certified Master Gardener)