Since official updates via the Google Play Store are no longer pushed for KitKat, users must rely on reputable third-party repositories:
: Devices running 4.4 no longer receive API updates, security patches, or the ability to log into modern Google apps. android 4.4 google play services apk
Uptodown : Offers an archive of older versions for compatibility needs. Installation Steps How to Install APK Files on Android Since official updates via the Google Play Store