No, poultry lice won't survive on humans and human lice won't survive on poultry. So no worries there. I was also as ****** as you when I found lice on my birds a few weeks ago. Fortunately, treatment is simple.
Use either Seven (my choice) or Poultry dust. Wear long sleeves, gloves, and a dust mask when you do it and be sure to keep it away from the chicken's face. Turn them upside down (they won't like it, but will quickly give up the fuss and lay limply) and dust their bottoms (around their vents and bellies), under their wings (at the pits), the back of their heads/necks, and on their backs.
Work the dust into their feathers and down onto their skin as you go. Then release. In 7-10 days, repeat. Check them thoroughly in another 7-10 days and reapply if you find anything, but you really shouldn't need to.