Me and my husband are new to composting and we have a black bin like that too.
The beauty of composting is that there is no one right method. I have tried a number of different methods and they all work more or less to some degree. It's just a matter of where you live, what material you have to compost, and how much work you want to put into your composting. After I got my chickens, I just let them do all the work scratching, turning, pecking, and breaking down all the compost litter in the chicken run. They do a better job than I ever did with making compost. Lots of great composting info here on the BYC forums as chickens, composting, and gardening all seem to go together for so many of us.