If you do decide you need a 3rd party password manager, I highly recommend 1 Password. After looking at several other options, I settled on 1Password. 1Password is a program that has browser extensions you can install for Safari, Firefox, and Chrome. When you get to a web site, you click on the extension, which knows you are at the web site, and it will then auto-fill and log on if preferences are set to do that. You can download a trial version. There is an IOS 6+ app which can sync with the computer version. It will also store credit cards, notes, software licenses, e-mail information, and other things. There are versions for older OSs, so you can sync information across multiple computers. I would purchase it rather than go the subscription route. Disclaimer - I receive no financial compensation for this recommendation.
1Password