With regards to Bitwarden, it has a wordphrase on the account which only you know. You can verify this when you connect to the cloud. You can run the server within your own cloud.
With the cloud, you can assume that the government has access to the encrypted database. If you have a strong password, it will take them longer to brute-force your database. We are talking about two governments here: the US government (most password managers are from US companies and are hosted in US clouds) and your own (who can attempt to ask for the data), this is no issue, but I believe you should by default not trust them. This is important because it should be part of your risk assessment.
It would probably be easier to attempt a MITM (with help of the password manager sysadmin). I've once seen a fake Lastpass login page (back when I used Lastpass).
Almost all password managers can import/export their database to CSV. This allows you to avoid a vendor lock-in.