I raise composting redworms, too. I started my herd long before I started with chickens and the other critters!
I highly recommend the book "Worms Eat My Garbage" by Mary Appelhof
http://www.amazon.com/Worms-Eat-Garbage-Mary-Appelhof/dp/0942256107 and the vermicomposters forum at
http://vermicomposters.ning.com/
Composting redworms have different behaviors than do garden earthworms and night crawlers. In nature, redworms generally live on the surface, either in their food (manure) or hiding under leaves etc. "Domestic" redworms do very well in bins, converting organic matter into absolutely wonderful vermicompost. A healthy worm bin also has beneficial bacteria throughout. Vermicompost is almost black, smells like sweet earth, and holds moisture better than anything. (This is what master gardeners mulch their champion rose plants with. I get up to $3 per pound at our farmers market.)
Redworms eat just about anything that used to be alive. However, meat and dairy WILL draw flies to the bin, and fly maggots will take over. They're not big on onions, garlic, or citrus peels, either - but a few now and then doesn't hurt, and the bacteria will break it down eventually. Also, redworms do not appear to be affected by mold and mildew, and I have fed them some very foul "science experiments" I found lurking in the produce bin over the years. Redworms can have used coffee grounds and tea leaves. They can have poultry litter, but fresh chicken manure is "hot" (high nitrogen) so I recommend aging or partially composting it before adding significant quantities to the bin. (Rabbit and goat manure can go right in.)
For a single family with a few chickens, I recommend using an 18-gallon Rubbermaid tote bin, like the kind sold at Wal-Mart for $5-10. Drill 1/4" holes about 2" apart in the bottom of the bin (for drainage), and 1/8" holes about 1" apart along the top (for ventilation). (I no longer drill holes in the lid, as they can break when silly turkeys try to perch on them.) Place a few sheets of newspaper on the bottom of the bin, to keep worms in but let liquid seep out.
Next is bedding, which can be pine shavings, shredded newspaper or cardboard, or my favorite, moldy straw. Bedding acts as insulation, and I like to use a lot of it. Soak it in water, and add to the bin. On the top I usually toss corn husks (I love tamales). Put the bin lid on, place on well-drained soil in the shade, and you're done!
To feed the worms, I imagine the bin is divided into six sections, two by three. Each time I feed, I dig out one of the sections, add the food, and re-cover. The worms will move to where the food is. Covering the food with bedding and vermicompost keeps gnats and fruit flies away. Keep feeding in a circular pattern, and add water when needed. (You should expect the material at the top to dry out somewhat, which is fine. Plenty of moist room down below.)
After several months, the bin will be full of vermicompost and lots of worms. To harvest, you can either push everything to one side, place a screen in the bin, and only feed on the other side OR dump the contents onto a table, make vermicompost pyramids, and remove the outer portions of vermicompost. (Worms hate bright light, and converge at the middle of the pile.)