Like with TelemetryJson, we can make the implementation details private
and avoid the need to expose httplib to external libraries that need to
use the Client class.

Users of the web_service library shouldn't need to care about an
external library like json.h. However, given it's exposed in our
interface, this requires that other libraries publicly link in the JSON
library. We can do better.

By using the PImpl idiom, we can hide this dependency in the cpp file
and remove the need to link that library in altogether.

Taking them by const reference isn't advisable here, because it means
the std::move calls were doing nothing and we were always copying the
std::string instances.

Removes unused includes. Also rectifies a missing <chrono> include.