When composting, can you combine chicken, cow, and pig manure?

If I ever get to own my own little farm some day, I was wondering what to do with all the poo left over from the animals, and I thought about making a compost heap. What I want to know is - if I fed my animals gr and straw, and they were raised organically, would it be safe to combine the manure of chickens, cows, and pigs? I also want to have rabbits. Would it be safe to combine all of them in the compost heap?