DO IT YOURSELF...having moved about 20 times in my life, let me tell you what can happen if you let them do it...all the stuff in drawers will be dumped into boxes...have fun sorting that out...books will be crammed into boxes, however they can get them to fit...wait till you see those corners and covers.
If you want it to look like it does now, then YOU have to pack it...they do not get paid to sort, arrange, organize, etc...they get paid to dump into boxes, tape them shut and put them on a truck!
It took my mom 3months to sort her sewing drawers..and that is all she, 4 drawers..