When searching for alternatives, I found the concept of stateless password managers. Proprietary cloud solutions are off the table for me. Because I travelled a lot in 2018, a new criterion emerged: How does bootstrapping work? How do you get any password from the database on a device that you do not own? This is obviously difficult with a traditional approach. I quickly migrated most important logins and never look back!
Besides storing passwords, a password manager should also help using them. KeePass provides Auto-Type for this. Eventually, most passwords will be used in the browser. Having a compatible browser extension became a must. Copy-pasting is a dealbreaker, because every application can read the clipboard! Most desktops support text drag and drop and on mobile, the application should provide a custom keyboard or accessibility feature.
In the meantime, I am using my own browser extension and wrote a converter plugin for KeePass to occasionally copy them (for convenience only) to my mobile. Typing the master password is cumbersome, so I use a random file (one of the dozens) in the Downloads folder as keyfile. In case of emergency or for bootstrapping, there is a web app.