How do I back up my VS Code settings and list of installed extensions?

I've just been through the VS Code installation process twice. The initial install is quick and painless (as is the editor itself), but I have had to remember the list of extensions I installed and am installing new ones a great rate.

With Sublime Text, I'd just copy a settings file to another PC and could auto-install any workflow dependencies that way, but what is the approach with VS Code?

Can I just back up a JSON 'settings' file or similar so that I can easily re-create my working environment (complete with extensions)?