I also recommend using Cookie AutoDelete for Chrome [0] or Firefox [1]. You can define a whitelist of websites where you actually need Cookies (because you want to stay logged in), and the rest will be forgotten when you close the tab. It even allows different rules in Firefox Containers.
0: https://chrome.google.com/webstore/detail/cookie-autodelete/...
1: https://addons.mozilla.org/en-US/firefox/addon/cookie-autode...