In the past I re-used the branches in various ways. I laid laying them in a paths; I used them as the underlayer in raised beds; I made a little brush pile in the back. But I was running out of things to do with them. Fortunately, my brother and I had bought a chipper a while back, so I hauled that out.
It's electric so there's no skanky fumes or carbon emission. In fact, when I plug it into the extension cord, it can run off the solar electric we generate ourselves. So in a real sense, we have ourselves a solar-powered chipper.
It worked great! The branches that would have taken years for bugs to brake down were swiftly converted into usable mulch. In fact, I don't think I'm going to ever be short of mulch again since the trees keep growing branches; we can just recycle the ecess branchs into the soil, to be used to grow more branches, I suppose.
This little electric chipper a good tool to jointly own and share, because you don't need it too often, but when you do, it really makes the work go faster.