vanilla cookies in Chrome allows quick cookie clearing (one click) and you can customize rules to save specific cookies. Self Destructing Cookies on FF is fantastic also.
I use this [1] -- it's great. I have it set to delete any cookies not on the whitelist 30 minutes after last set. That way I can log into a site that's not on the whitelist and do something and after I've stopped using for 30 mins I'm logged out and cookies deleted. However - it's not perfect. It doesn't delete local storage, local databases, or Flash™ storage. There is a nest of Chromium issues [2] needed to be resolved to make this work. It looks like the most recent related work was done Sep 2016 [3] so maybe there's some hope, even though the issues have been open for 5+ years. Of course I have the option of working on it myself but having looked at the 5-10 related issues I think it would take quite some time to develop an understanding of all the APIs.
[1] https://chrome.google.com/webstore/detail/vanilla-cookie-man...
[2] https://bugs.chromium.org/p/chromium/issues/detail?id=78093
[3] https://bugs.chromium.org/p/chromium/issues/detail?id=589586...