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I've been using the Temporary Containers addon for this and it's been good so far: https://addons.mozilla.org/en-US/firefox/addon/temporary-con...

I don't understand why you can't quickly set this up?

To independently clear on a container-basis, why not just delete the container? Stop treating your containers like pets and start treating them like livestock.

Cookie AutoDelete will do the trick. It has per-container deletion rules.

isn't this already achievable with containers and also private browsing?

At least for cookies, Cookie Manager extension can do exactly that.

I think you can kind of do this now? The Temporary Containers plugin will create throwaway containers but you can also create permanent site-specific containers.