So, at the very least, use unique passwords for your bank, credit union, and stockbroker. They should each have separate passwords. Also protect your email account or accounts with strong passwords. If a hacker gains access to your email account, they may request new passwords for other important accounts and these new passwords will be mailed to your email. Guessing passwords isn’t the only trick up a hacker’s sleeve.
Computers and browsers may offer to memorize your passwords for you. That’s OK in some instances, but I worry that if your local computer gets hacked or stolen, this may backfire on you. I don’t have a strong opinion on the use of such features. If you create really strong passwords, then that is good. If you have your “every-day” computer memorize those strong passwords, well … I just don’t know if that is a good or bad thing. I’ll have to research that more.