Kellogg & Pettigrew recommend passing greywater through a pre-filter made of a plastic bucket full of chipped wood or brush. This filter medium is changed regularly.
This then feeds a "barrel breeder," a large container (they recommend a steel or plastic drum) with holes at the bottom which receives a bucketful of soaking wet, greasy chips, and then a bucket of clean dry ones, each time the filter is changed. Detritovores (often worms, woodlice, millipedes) find their way in through the holes at the bottom, and break down the wood. When a full drum has stood around for a couple months, it can be rolled to a place that needs mulch/compost, and the chickens empty it out, eating the detritovores.
"the qualities of these bacteria, like the heat of the sun, electricity, or the qualities of metals, are part of the storehouse of knowledge of all men. They are manifestations of the laws of nature, free to all men and reserved exclusively to none." SCOTUS, Funk Bros. Seed Co. v. Kale Inoculant Co.