Are you looking for a password ***** app or device? Because there are products like that out there. Basically you set a master password ***** the app or device will generate secure passwords for you that you don't need to remember (they are stored in the app or device).
Chrome will also usually allow you to save usernames and passwords in the browser (and often syncs those across devices).
However some sites do not allow those features of Chrome to be used (a lot of banks are that way).
This is an example of a password ***** app: https://chrome.google.com/webstore/detail/lastpass-free-password-ma/hdokiejnpimakedhajhdlcegeplioahd?hl=en-US