There are a lot of providers that offer free VMs, storage, etc., but not many that offer free, managed Postgres hosting.
|neon.tech||3 vCPU||4 GB||3 GB||1000 w/ pooler, 100 w/o||❌|
|supabase||2 vCPU||1 GB||500 MB||50 w/ pooler, 10 w/o||❌|
For automated backups, you could always setup your own on of the numerous free tier VM offerings.
Some providers advertise free tiers, but they’re time limited so really they’re free trials.