In terms of integrating with website stuff, it is a lot better, KeePass wasn’t designed to be web first. In fact, the vast majority of password managers aim to be used on the web. KeePass was never designed for that job. It’s just an application to store passwords. KeePass has one feature though that not many other password managers can do, Auto-Type. Auto-Type can type your credentials into other applications. I work in IT and have many passwords for different systems and applications. I’m willing to bet I use Auto-Type about a hundred times a day to type my passwords for me. Bitwarden can’t do this.
Whilst the majority of my passwords at home are within the browser, there are applications that I wish it could type into for me. For example Steam, VeraCrypt, Epic Launcher etc.
Basically, I use Bitwarden at home but at work I use KeePass. KeePassXC is also worth looking at if you like KeePass.