As a near-senior citizen, I’d like to know how one goes about protecting and remembering 30 or 40 different accounts/passwords. Password vaults are only as secure as the password used to gain access to them. How do I protect that one? ;^)
To me this goes under the "I'm too paranoid, so don't do anything" complaint. Pick one really good, strong password. Like "MyD0gBlu3AlwaysFindsTheCl%e!"
Then you try and protect your database file of passwords. It's not perfect, as David mentioned, but it's better than crappy passwords, writing them down, or even losing a keylogger. Losing there means someone is targeting me, has to identify the password amognst other things I type and mistype. If you're worried, randomly bang around on the keyboard in Notepad sometimes.
This is way beyond anything else we have, and it's easy to change one password if it is compromised.
I use Password Safe, because it works across all devices (Windows, iOS, Android) and with Dropbox for the files. It has no browser integration, but I prefer to decide to enter passwords. https://www.pwsafe.org/ This is open source, written initially by security expert, Bruce Schneier, and free/low cost.
Some people love Keypass. My wife uses TrueKey, which is a concession to me for a manager, but provides easy integration with browsers on her laptop and Android device (https://www.truekey.com/)
Pick something, add a layer of security to your life, and get used to using it.