I have generally around 200 birds and more when I start hatching. I do have 40# hanging feeders in the coops and I have seen no evidence of the rats getting into the feeders. Your story of Disney's Ratatouille reminded me of my infested coop. That is kind of what I was up against. When I started taking out the ceiling I was amazed at the dozens of rats of all sizes that came out. I had to move because they were jumping everywhere and some nearly landed on me. First I put a bucket of water out with sunflower seed floating thinking they might jump into the bucket thinking it had something good in it. I even put a ramp up on the bucket. No takers. They avoided the traps no matter what I used at bait. I tried the sticky traps and the snap traps but they weren't interested. Not sure where they all went but I had put out the rat bait stations in places where nothing but the rats could get to it. It can be done responsibly where pets, kids and other critters don't have access to it but still allow the rats access. There is the possibility of second hand poisoning but usually when a pet eats a dead rat it may make them sick but generally not fatal. Eating the actual bait could be. The rats did seem to like the poison. I haven't seen a rat or any more tunnels around the coops in quite a long time. I'm sure rats are way different than mice.So I have mice and with traps and controlling the food left out I've controlled the mice, (or at least given that appearance ) about 3 months ago I had 1 rat that I saw in the aviary, and I put the enclosed poison baits out but nowhere the dogs can get to them (basically outside my fence in my driveway) and stuffed up any holes I found. I saw the rat a few days later and it was clearly not well, I tried to grab it but it still ran away, haven't seen evidence of a rat since. Putting the food away at night and cleaning up the scraps really helped control the rodents. But when I saw that first rat I flipped and I kept seeing that scene from Disney's Ratatouille when the colony is exposed and there are millions of them hiding in the ceiling. But I haven't seen any since, so maybe it worked.
I think the key to success is control the food supply. That worked for me.