Setting up a reverse proxy + TLS is not that hard. Buying a domain + paying the 10€ per year license (If you go with the official server rather than vaultwarden) is still cheaper than paying for Lastpass / 1Password / Dashlane for the same time. As long as you are willing to maintain it that's pretty reasonable.
The only thing that makes me mad in bitwarden's official client is that you STILL can't remap your keys. I still have the old habbit of Ctrl+L from Keeweb to go to the search bar. On Bitwarden it locks your vault...
Self signed certs don't play nicely with the app.