Over the years I haven't been much good at compost, but we used a large, concrete ex-coal bunker.
A good mix of green and brown material, so leaves and soft vegetable matter, and crushed or shredded twigs, paper and cardboard. Some grass cuttings, but not too much.
It is best to put in as much as possible all at once, as it heats up quicker, but that can't always be arranged. Collect stuff up near the bin, then put it in when you have enough. We also had a shredder, and that probably helped make the best compost, and heated up well: slow worms loved it!
There are chemicals and accelerators, and they say urine is good too, if you want to experiment.
I'm not sure about 'turning' it, while it is active; and it needs air as well, so coarser stuff can provide that. But it is a delicate balance - so GOOD LUCK!