You are likely wanting something like RDS [1], Azure [2], or even Linode (which I just discovered) [3]. Sure you have to pay a larger premium for it, but these products do allow you to focus on the app than the DBA stuff.
yeah, premium is very large if I want to do a lot of data crunching (lots of iops, cores and ram is needed), plus latency/throughput to those services will be much higher than to my local disk through PCIE bus.
- [1] https://aws.amazon.com/rds/
- [2] https://azure.microsoft.com/en-us/services/postgresql/#overv...
- [3] https://www.linode.com/products/postgresql/