All I did was fold down the long end and wrap some tape around it. This gave me one end with a loop and another end with a door stopper (see here: http://tinypic.com/r/2z732xe/5)

The flat (middle part) of the old lifting strap fits nicely in between almost any door, and with the loop on my side I can tie a band through it at any height that I want, with the safety of having the tape stopper keep everything in place on the other side of the door (just need to make sure, again, that nobody opens the door!)