We need your account info and an Android/GSF ID to simulate the download request and send it to Google Play Store's Server. If you don't have any devices meet that the requirement, email me (and skip all these steps below).
1
Prepare an Android device with Google Play app installed (or you won't be able to download apps).
2
Install
Device ID (
mirror) on that Android device. This app will show necessary information for you to use on APK Downloader.
3
Log in to APK Downloader using the information showed in Device ID app.