Sell
Anything valuable and not too difficult to move, we sell. Even down to $10-15 books, electronics/accessories, etc. If it's large but can be loaded, we sell it via Facebook Marketplace. If it can be shipped for under ~$15, we sell it on eBay and charge ~$10 shipping. We under price most things just a pinch to make it move quickly. We've sold a car, a garden tractor, a motorcycle, a whole couch/sofa/ottoman set, an exercise bike, a bench/squat rack. We've sold dozens of board games - those we meet people somewhere nearby for. We sold some DVDs/Blu-rays, but in general their value is approaching $0 unless it's a "collector's item" movie or TV show.
Donate
We donate clothes we don't wear any more but that are in good condition. We donate some books.
Give Away
Large, common items with low value - we will list on Facebook Marketplace for free. We gave a way some small tables, chairs, a mostly functional dehumidifier, a desk. We gave an office chair to family, and a large shelf unit to a neighbor (and helped them move it!)
Trash
If it's in poor condition and past its useful life, or cannot be donated or given away, or we tried to give it away, we will put it in the trash. Not a lot of items fit into this category. We took down a foyer chandelier and tried to give it away, but no one wanted it. After a couple weeks, we gave up.