Several browser plug-ins are available as well as simpler solutions like a browser extension to insert the URL in the title bar and sending keystrokes to the browser to populate it.
The answer is right there in the article: Use the browser's password manager.
I find Firefox's password manager + Sync a good solution, and I don't understand why people don't advocate it more. It's free and open source. Mozilla is a reputable software house with a good security team. Their revenue stream does not depend on you paying for the password manager. It doesn't even depends on monetizing your personal information.
Yesterday I found it even works as a password store for all of iOS.
It works just like another password app.