The easiest way to compost is to just throw everything in a pile and let nature do its thing. But that's not necessarily very efficient. So there are a few things you can do that still keep composting in the easy column, but speed it up a bit.
Keep it covered, keep it damp. I've got straw over one pile, and just some old cardboard on the other.
Turn it now and then. Get the air in, move everything around. Chickens are way better at this than we are, so let your girls have a go at it. They love digging out the crawlies.
Try to keep a good ratio of green, fresh items and brown items. Iirc, chicken poop is classed as a green. Food scraps are green, so you might want to add some dry garden waste in autumn, straw, saw dust, or even cardboard. Any ratio WILL compost, so don't get hung up on it too much. My piles are mostly brown, as they're predominantly rabbit poop, old hay, and stove pellet litter.
My system before the chickens was just to have three rotating heaps (I have a lot of rabbit litter) and they'd take over a year to compost. Now I have two rotating heaps and the chicken run. I tip a bucket or two from the oldest heap into the run once or twice a week, while adding new material to the other pile. The girls literally come running when they see the bucket. Toss a few handfuls of fresh straw on top, and their treats, and they work the compost up. It composts a lot quicker than it used too. I haul out what I need when I need it, or pull a lot out and put it in a pile, then start a new.
You probably won't need or ever build up two or more piles, so I'd just let the girls have a go at the pile. Might require a bit of raking if you have just a pile, as they'll kick it everywhere. But if you keep it in the container you might keep it all contained. Depends on how big your container is.
