The last stable versions for Android 4.4.4 are generally within the branch.
Installing the Google Play Services Apk on Android 4.4.4 KitKat is a straightforward process. Here are the steps: Android 4.4.4 Google Play Services Apk
As of late 2023, Google has officially discontinued Google Play Services support for Android 4.4.4 (KitKat) The last stable versions for Android 4