This gets rid of the TypeScriptDefinitions directory and associated gulp
task. Instead it uses the typings module which is a more standard way to
manage TS definitions. This now creates a typings folder at npm install
type and WebStorm has been configured to simply point to that.
Not only is this cleaner, but the actual intellisense is much better at
WebStorm should provide even more help now.
Also removed the request dependency because it's no loner used.
Also added missing entries to npmignore and gitignore.
As part of this change, I also updated all npm modules to there latest
version, this is in preparation for turning on greenkeeper.