Neon

Neon is a serverless Postgres platform that separates storage and compute, enabling features like autoscaling, branching, and scale-to-zero. It gives you a fully managed Postgres database that starts instantly and costs nothing when idle.

The free tier is generous with 0.5 GB of storage and 190 compute hours per month. The Launch plan at $19/month adds more storage, compute, and support for production workloads. The open-source storage engine means you can also self-host.