Option to move/copy cookies and other data

[GLComputing]

When selecting "Reopen in Container", then "Always open in ..." so the site always opens in a new container, it would be useful to add an option to move or copy any cookies and associated site data.

Especially useful for new users to move sites into containers and not leave all the old cookies/data in the default.

[Bekreth]

Additionally, being able to copy a cookie into all containers. I frequently use containers to access multiple accounts that all require the same authentication cookie, so my day starts by opening a tab in each of my containers and getting authenticated.

[Midar]

Not to forget that some websites save user data in the local storage. Not being able to move that means it's impossible to move those to a container without full data loss.

[cultiplier]

Would be massively helpful in AWS environent workflows and prevent me doing multiple SSO's.