Starting with AWS, GCP and Azure, the major cloud providers offer different options to run a relational database on the cloud. A recent approach is to rely on so-called serverless (relational) databases like Aurora Serverless or Azure SQL Database serverless that offer both traditional TCP connections and HTTP API access. In a short journey to serverless databases, we will cover the main benefits and see a few limitations of the new approach, and how to optimise price-performance with compute auto-scaling.