I want Chrome/Firefox NOT to record history of a 'particular' website. Is it possible to do so? I searched in preferences, but couldn't find a solution.
This isn't the exact solution you want, but I couldn't find another way to do it more in line with the original question.
The solution is to use incognito mode. To get to incognito mode, use the following keyboard shortcut:
The solution is to use private browsing. To start private browsing, use the following keyboard shortcut:
You could also use these
history site blocker (for Chrome)
Note that while sites are prevented from being inserted into the history, autocomplete still works on URLs from those sites. I actually like the convenience of this, but it's definitely less secure than Incognito, which prevents those URLs from showing up in autocomplete.
History blocker (for Firefox)