Don't get me wrong, I don't use a password manager either. Not a single one of them is truly portable, safe or secure. What if you lose all your electronics? All your belongings? Your house burns down in a fire? The cloud gets hacked? You have conflicting interests with US government and they kindly request your passwords from Apple? You have conflicting interests with any other country and they find and use the backdoors installed in US companies by US agencies?
I use an algorithmic password which is:
* Trivial to run in my head (I got used to it)
* Compliant with all silly password character requirements
* Has password rotation built in for apps/websites which require you to change your password every X monts
* Has a shorter version for apps/websites which have a password length limit of 20 chars
* Has a third easier-to-spell version for passwords I need to share with family and friends
* Completely ASCII
* Impossible to tell with bare eyes it's the password for amazon.com from the resulting password. It looks like randomly generated gibberish.
* Leaves the Caps Lock off (so that you won't try again and fail again when you fail once and the Caps Lock is on)
I only have an algorithm in my head. The downsides? It's a bit more slower to enter a password if I haven't entered it in a while. Still doesn't take more than 30 secs. And it can only be brute forced in a million years instead of a billion.
And yes, you need these features in your algorithmic password. It took me about a year of trial and error to get to this point.