Synchronize Cookies Between Browsers

Solution 1:

No, you cannot share cookies across web browsers. At present, there are no services that synchronizes cookies just like how bookmarks are synchronized.

It does not make sense for you to share a cookie across browsers or even machines, because cookies are supposed to be used to identify unique sessions. Most web applications are also intelligent enough to handle simultaneous access of their service from multiple devices. For example, you can use Facebook or Gmail on your smartphone and laptop without causing any synchronizing issues.

An alternative approach you may want to consider is to use an extension such as Swap My Cookies to manage multiple sessions within a single browser.