If you want to build customised MoodleMobile APK's, then in addition to installing Cordova (and the other dependencies), you'll need to get hold of the Android SDK, Cordova requires this if you want to build an APK.
https://developer.android.com/studio/index.html#downloads
Not sure about IDE's, I don't use them. There is an Android studio, but I have no idea how well this works with Cordova projects.
If all you want to do is write a remote addon for an existing Moodle plugin, you don't need the Android build tools, since you won't be generating a new APK file.