I only have a few dozen passwords. My algorithm works completely fine to produce unique passwords and they're also very complex.
1Password did make me curious though. I actually downloaded it to my iPad to experiment with it. So far it's fine, but I'm not sure if I need it. Especially since I'm concerned about the safety of locally stored passwords. It's not just the hackers - I mean if your password manager is the only place where you store your passwords and then you forget your master password you'll lose your entire digital life on the internet.
Mine is a messed up acronym that doesn't make sense, but I remember it. There are other ways to recover you digital life in emergencies too. It's not lost forever (well some can be), and why there are recover email addresses and cell phone numbers to recover too. 95% of all my passwords are at least 20 characters long, and my master password is longer than that. The only passwords I remember are the Apple ID, my bank, and my master password.
I have been using 1Password for over a year now and it's my favorite app.
Also, maybe this might be a good read for you:
https://blog.agilebits.com/2014/07/16/1password-is-a-very-safe-basket/