Google Play Services Apk Android 44 〈Exclusive〉
Here is the crucial data you need. Do not download any Google Play Services APK higher than version 20.xx.xx for Android 4.4.
The final stable versions that support Android 4.4 are: google play services apk android 44
Why version 20? Starting with version 21.0.0, Google required Android 5.0's ART runtime and new security patches. If you try to install version 21 on KitKat, you will get a "Parse Error" or "App not installed." Here is the crucial data you need
Method A: If you have a File Manager
Method B: If the Play Store App is Completely Missing If your phone does not have the Google Play Store app installed at all (e.g., you are using a custom ROM), you cannot just install Play Services. You must install them in this specific order to avoid errors: Why version 20
Use a trusted source like APKMirror (run by Android Police).
Since you are likely downloading the APK via a browser, you must allow installation from unknown sources.