We have a compost tumbler, and I just toss the shavings in there.... but, not before making a few mistakes...It stinks to high heavens, so it is good that there is a lid!
We are still newish (our babies are a day from being 7 weeks and are still inside, so we are cleaning out the brooder often!) and with the first two batches of wood shavings, I put them around my rose bushes & other flowers. The dirt there is clay and hard as a rock... it's so bad, weeds won't even grow there.
In the Rosebush bed, (which is close to the street) the flowers went from the palest pink and purples, to neon pink and purple... They look cool, but I will be happy when the color calms down a bit.
The flower/veggie beds are another story. They are on either side of my front door, and the smell didn't bother me at first, because we dug trenches around the flowers, and sprinkled it... Wooo!
It's stinky! It has been a couple of weeks, and every few days I have been ho-ing around it, and trying to work it into the soil. It is FINALLY not so stinky (there is a strange odor), and the shavings look a bit out of place...
So, I have been putting them into the compost tumbler. Here, we have these crazy looking things that look like half maggot, half roly poly bugs, that will go through your compost like no tomorrow. In a week, they break down almost all the wood shavings. It is awesome! But, it STINKS... so, I am keeping the tumbler near our back fence, totally in the middle, and away from the neighbors. I can only smell it when I open up the lid... I did add some to the bottom of a future veggie bed, and my dog was so excited, she dug it up. Gross. She gets so excited when she sees me coming with a bag of poopy shavings. You'd think it was a doggie treat. Nasty.