A password manager can be considered critical infrastructure; beyond privacy and uptime/access considerations, you should also consider what happens if you lose all of your data - Do you have backups? Are the backups 3-2-1 redundant? Do you have a ready-to-go docker compose to get yourself up and running locally in a pinch?
I self-hosted bitwarden (vaultwarden) for several years and it became evident to me that it was important enough to use the hosted service - especially as I was already paying Bitwarden to support their open source business.
Authy is lovely in that it just works, but it is hellacious to migrate off of if you change your mind.
I also don’t love that Authy is owned by Twilio, a communications/marketing service company.