I have boot trays under the perches, scrape them off into a bucket each morning. There are actually two trays. Change the shavings in the coop twice a year.
I use boot trays under the perches, scrap them off into a bucket every morning, take them out and wash about once a week, easiest, quickest method I have found.
I have used the dog grate method and it worked in about 3 days. I did give her a roost she sat on almost the whole time. My first flock were Americana's (5) and they never did get broody, have (6) Australopes and have had two go broody?
We use a dog nail trimmer also. We have had Ameraucanas and Australorps, only one Ameraucana has had to have her nails trimmed, I hold her and the wife does the trimming.
As an aside, not part of your problem, but that is the ugliest water dish I have ever seen.
Would suggest you replace with something like a Harris Farms Plastic Poultry Drinker, 5 Quart and add a tablespoon of ACV to it. You can not put the ACV in a metal container.
I have six that look just like that and have all started laying, so no roosters.
One is very noisy, more of a scream/squawk, starts about 6 am. I am afraid she is going to break the windows or the neighbors will wring both our necks.
She is the friendliest of the flock, hate to have to re-home...
Have not had a rat problem in the coop. It is on pavers covered with sand. All the wire is 1/2 hardware cloth. We have rats, possums, raccoons and an occasional coyote, never had a problem in five years. See "Lil Red Chick Palace".
Found the attached in the tray below the roost this morning. Believe it came from our RR that has not laid in at least a year, she is about 5 or 6 years old. She does not appear to be in distress, eating and moving around. The print is from the paper.