Ryan, I do exactly what Lazyman does....except I have bought a lifetime supply of paper bags at Sams, I never thought to put a bunch in one yard refuse bag.  I used to throw in wood chips from the DC, but it bothered me having the bags of chips in my attic, so I just use the bag now.
I turn mostly in the winter, so I what I rough turn one season I finish turn the next....some guys around here let minor cracks form then fill with colored epoxy for effect, still other just let the wet wood warp uncovered, unbagged, then see if they like the form it takes on its own, straiten the bottom up and call it art......I'm still in the Lazyman camp....

Mike