I'm using an older version of 1password that does not store my passwords in the cloud. It stores the file 'locally'. In this case, 'locally' can also mean a cloud drive of some type: Google drive, Microsoft Drive, Dropbox, Mega, etc. Sure, my file is still in the cloud, but it's more of an obscure target than all of the millions of passwords sitting over there at LastPass (or the newer version of 1password). I imagine someone would have to target me specifically before I was vulnerable. And that file is still encrypted. But being on one of my own bought and paid for cloud services means I can access it with my phone, laptop, or other devices at need. And if you don't need that functionality? Keep the file local and don't worry about a cloud breach anywhere.
Keypass is another, open source, password manager that stores your encrypted file locally, and not in their own cloud.
I like password managers, because, like most people, my passwords were not too difficult, and shared across sites. I ended up being exposed in a breach (
https://haveibeenpwned.com/ ) which then saw many of my other sites I used start falling. In less than I day, I had a password manager, and all of the sites where I had accounts had unique 16-digit passwords (were allowed..I still don't get sites that only let you use 8 or 12) with case scrambling, numbers, and symbols. Too much for me to remember, naturally, and a pain to type in, but that's where the password manager shines.