I have used horse, goat, rabbit, chicken, sheep and mostly cow poop. I use everything I can get my hands on and usually just spread it in the garden and even more so try to fill all my raised garden boxes with only poop. It is all like gold when you start with clay soil. I have had some that was a little green and some that had been piled and rained on with a lot of the good stuff leaching out. I have did a few pickup loads and sometimes dump truck loads for the last 20 years and I still need a bunch more. I usually get about 3 pickup loads a year and would get more but I have to shovel it and thats about all I can take a year. The few years I could get dump truck loads, I took as much as I could get.
You can never get to much. The weeds suck and with the cow you get lots of thistles. If it is a bit green this year, it will be great next year but also will shrink. My view is don't be afraid of any kinda grass eating animal poop you can get. It is like gold.
I put it strait on the garden and till it in and try to grow things. If I get some that is a little green, I put it on and know that area will be better next year.