Ditto above. While removing underground runners would be best since they already have feeder roots, you can use shoots from a healthy plant and get them to root by soaking them (maybe misting them, too, if you want to get fancy). This year, I've removed 6-12" shoots without roots, cut off the growing tip, and buried part of them in a big pot. Within a couple weeks, you'll see new growth.
They didn't all take but I'd say at least 75% of them did, and all I do is water them every day or two--easy as could be and didn't have to get fancy at all to make it work, no rooting compound, no sterilization, no misting, just buried sections of hop shoots with the growth tip pinched off left outside in a mix of sun and shade.