I very rarely feel the need to clean containers. I mean, they don't get dirty, do they? The only exception is the black silver that is deposited from used fixer, and I just wipe that out with a cloth.(posted 8936 days ago)I am paranoid about never putting acid in a bottle that will be used for developer. If I rinse the bottle with water, then the only contamination will be from water, which isn't a problem. But if I rinsed with acid (either stop or fix), then I might contaminate the developer with an acid, which would be bad news for future development.
If you want to remeve stains, then you can use proprietary chemicals, or household bleach. Do wash very carefully afterwards, of course. I don't bother removing stains: if it won't come off with a cloth, it is unlikely to affect the chemicals.