Toss the shavings around the shrubs - The plants will love it, and the aroma will fade quickly once it's out in the air and sunshine with creepy crawlies digesting it.
I call that "sheet composting." You don't always need a pile.
We have several compost piles going. My husband got the great idea of stacking old tires together to create the "container" and then tossing in the yuck. Been working well for over a year, and I don't notice any smell coming from it at all.
I never used shavings when our baby Pekins were inside. I got a huge dog crate and put hay inside with a small bowl if water with a rock in it so it wouldn't spill over. I also put a box inside the dog crate so they would get used to going in a house. Every am, I would take out the hay and throw right on the compost pile. I also lined the crate pan with newspaper. I loved using the colossal dog crate because by the time they were getting bigger, it was time for outside.
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