Ziplock baggies.
When I'm working on a model, I put loose parts in the baggies as I detach them from the sprues. Painted subassemblies may get their own baggie to prevent damage to the finish. I mostly use sandwich bags, but some larger parts go in quart bags. Large decal sheets go in a gallon bag.
I used to use condiment containers and still do sometimes, but with the baggies, it's easier to see what is in there.