I find that if you have enough green material in a heap you get good heating.
You can also use spent
coffee grounds which give lots of Nitrogen and they add good heating too.
I tend to compost manures with straw or old hay instead of putting it into "regular" heaps. I like to blend after the composting is finished.
I consider a compost finished when; The worms have moved on, the material is dry and crumbly, it smells like sweet dirt.
for some heaps this happens in 3 months most take 6 months and some (mostly woody material) take a full year.
I do put covers on my heaps to help get them started. Old carpet is great for this (I usually find it at the side of the road, in front of houses).
If you decide to use old carpet, take it to the carwash and give it a good power washing just to be sure you aren't bringing anything unwanted to the heap.
Don't leave the carpet in place all the time, while water will go through it, as the heap gets hot you need to be sure enough air gets in there too.
I remove the carpet covers to punch air holes into the heaps, usually 10 or more as I walk around a heap (five foot piece of 1/2" black pipe is what I scrounged to use for this)
As I punch the air holes I check for moisture content, then use the compost thermometer to check the heating. Once I am through with the "maintenance" I put the cover back on till next time.
I tend to be negligent of heaps, I remember to check them maybe three times a month. If the heap is part of a new growing mound, it is lucky to see something other than simple additions to the heap.
I leave the growing mounds mostly alone so they do their own thing. I've found that by the time I think a mound is ready for planting, it has mostly become compost over wood.