I tried vermicomposting once, I bought an established system off of some moving. It just all seemed to be very wet and mucky, it was like that when I got it. After sorting the worms from the muck and putting them into fresh bedding I decided I didn't want to deal with muck after that and sold the system....maybe it was just the set up I had, it was a two bin tote system with air holes drilled in the sides....nothing fancy. I would like to give it a try again if I knew my end results wouldn't be muck!
Muck doesn't sound at all right. Perhaps the system that you got didn't have sufficient drainage, or had too much water.
My current system has a bunch of holes in the bottom of each level, and a drainage catch beneath the bottom level for any muck.
My old one-bin system relied on never putting too much moisture in there in the first place.
You'll probably have better results if you try it again and err on the side of keeping it a little drier?