totally related to Apple/Mac somehow.
Given that this is apple centric site, I'm really surprised that there is reference to (advertising for?) paid password managers in the article with no mention of the excellent (and FREE) iCloud Keychain built into iOS 7 and later, and synced to OS X via an encrypted iCloud connection.
The best practical advice for folks using all apple gear is to use this in combination with 1. site unique passwords generated by the keychain and 2. To enable as much 2 factor authentication as is possible on the sites you visit.
For those using a Balkanized set-up of Apple and non-Apple gear, who still prefer to use Safari on their apple gear, a free solution is still possible (but not fully automated regarding syncing.). Install a web browser with an integral password manager (like Firefox or Chrome, etc.) With no automated syncing between these two systems, you will have to manually enter authentication data in the corresponding system during set up, and after any password changes, otherwise you will have all the benefits of a competent and safe password manager for free.
For those not wedded to using Safari on their Apple gear, then use Chrome on all your gear to get authentication syncing among your devices (this should eventually become possible with Firefox once they release an iOS app.)
There is no need to spend money on a 3rd party password manager unless it offers additional features that you need; the OEM password managers are solid and probably enough for the majority of casual users.
If you follow these instructions, you will have a strong unique password for every site, cross-site breach risk will be eliminated, you will never have to guess a password again, you will have no need of maintaining a password list in excel (also, make sure you have a valid recovery email address on file with every site on the slim chance something gets borked and you have to reset your password.)
In the end, the only password you will need remember is the one for your AppleID. (And keep it safe as it IS the golden key to all of your other passwords!)