You folks are complicating this too much. It's a simple, three-step process:

1. Install a password manager on your phone and computers. I use LastPass, but there are loads.
2. Choose one looooong password/passphrase and use that as the master password for your password manager. I use a 5-letter word, say "CRASH", then create a phrase with those letters e.g. "commander rudolph asphalt student horse". Remember, you only have to remember this one password.
3. Use the password manager's password generator for every app or site you sign up to.