Keepass can generate secure passwords yes, with customizable rules. I think synchronization on Keepass's side is possible, but to me the fact that your password

Keepass can generate secure passwords yes, with customizable rules. I think synchronization on Keepass's side is possible, but to me the fact that your password database doesn't talk to "the cloud" is a major selling point. I even use the alternate version of Keepass2Android that doesn't have internet permissions as an extra precaution.