I bought and have been using Roboform forever. Their business model has changed recently so I'm not sure they have a free version now but I think they do. It integrates with most browsers which is a plus. Most browsers also have their own method of password storage or an add-on like cj mentions so that's what I would use now if I didn't have Roboform.
I know I would be one of those seniors they show on the tv news who just had their bank accounts emptied by a hacker if I didn't have a password manager.