You can get as technical and complex as you wish about composting or just keep it simple. The manure provides a lot of nitrogen and the wood chips provide mostly carbon. To reach maximim efficiency in composting you'd need to carefully balance nitrogen and carbon, provide just the right amount of moisture, and turn it at specific times. I don't bother with all that.
The wood chips will be kind of slow to break down. Don't let that discourage you. They will get there. And I like Galanie's method of using a droppings board to gather more of the pure stuff, but I clean mine maybe weekly, not every day. We all do things differently.
My biggest problem in composting is keeping it moist. You don't want it to stay soaking wet because the wrong microbes set up housekeeping and it can turn slimy and smelly. It still becomes compost, but it is kind of unpleasant along the way. But if it gets too dry, the microbes don't work. It's a learning process. You'll get there.
I keep two bins. One is the working bin actively making compost. I'll add pure manure for a while to this one just to keep the nitrogen level up. But I quit adding the pure manure a month or so before it finishes. When I use it, I run it through a sieve I made with 1/2" hardware cloth. Anything I can get through the sieve I consider compost, even if it has not totally broken down. Anything that does not get through, with me this often includes wood chips or prune pits, I throw on my second pile. I save my plastic chicken feed bags and store the finished compost in them until I need it. The paper bags will rot pretty quickly, so I don't recommend using paper bags. You can put it straight in the garden if you want to, once it is composted.
My second bin is the stuff I am storing to get ready to compost. It might be garden or kitchen wastes and scraps, dead limbs, leaves, or grass trimmings. When I empty one side out, I just move the stuff over from the other bin and start a new batch.
There are a lot of different ways to compost. I'm not saying my way is the right way or the wrong way. It's just the way that works for me.
One tip or trick. When you start your first batch, throw a shovelful of dirt in it, preferably topsoil. This contains microbes that will break down the stuff. On your next batches, throw a bit of compost in it to provide these microbes. That's one advantage of throwing my stuff that does not go through my sieve back in there. It seeds the new batch with microbes.
