I use KeePass and I haven't integrated it into any of the web browsers I use. When I want to log into a site, I don't load it via my web browser's address bar; instead, I Alt-Tab to KeePass, Ctrl-F to find the site/account, Ctrl-C to copy my password, and Ctrl-U to open the site. This takes only a few seconds longer than using a browser extension like LastPass (which I've used to share credentials with family members).
In addition to this being potentially more secure, another benefit is that I can specify that KeePass open certain sites in a non-default web browser. I prefer not to log into some sites/accounts using my primary web browser, and KeePass helps me to avoid this. If I were to use a solution like LastPass for all my password management, I would need to pause and recall which browser I use to log into a site/account. But with KeePass, I just mindlessly Alt-Tab, Ctrl-F, Ctrl-C, and Ctrl-U.
In addition to this being potentially more secure, another benefit is that I can specify that KeePass open certain sites in a non-default web browser. I prefer not to log into some sites/accounts using my primary web browser, and KeePass helps me to avoid this. If I were to use a solution like LastPass for all my password management, I would need to pause and recall which browser I use to log into a site/account. But with KeePass, I just mindlessly Alt-Tab, Ctrl-F, Ctrl-C, and Ctrl-U.