Amazon AWS is the definitive cloud services provider. It has a ton of awesome stuff, all for free for 1 year, but it can be difficult to figure out all the benefits it can provide for you, or what you should expect to pay when time is up.
- Amazon AWS/EC2 - Virtual Private Servers, for Linux Windows and more.
Amazon AWS comes with a free PostgreSQL instance every month. Probably expires November 2016, but might as well use it and not waste it.