You will soon be a composting addict! I love emptying my compost bins, it's truly an amazing process. I have three bins, one in the house garden and two on the allottment.
I have never seen a rat near the compost, though the chicken keepers on the lottie had some trouble last year, as a result of poor hygiene.
Our local authority has a discount compostor scheme; you ring the authority and they send you a voucher that you can use locally. They are the plastic bins, we have them on the lottie. At home we have a rather fetching beehive as it's much prettier.
I add newspaper every couple of weeks and use a compost accelerator, though your chicken poo will have that effect I think. Also if the children *(or adults ) wee in the potty bucket in the shed we throw that in too!!
I've just emptied the bins and would like to warn you about the compostable bags you can use for peelings; they don't break down as quickly as the veg, paper etc and leave ugly bits and shreds in the compost. I tried to remove them as I emptied but we had to riddle all of the compost and it's tedious work that can be avoided. I wrap the peelings in newspaper now, then put it a bin near the door to take over to the lottie. We use the home one in the winter as we don't go over as often.
One of the reason I love Monty Don is the sensuous pleasure he took in his compost making, It's such a simple and effectiveuse of resources and mirrors the Earth's pattern of life, death and regrowth....told you I was a serious compost freak!!