The Android 4.4.2 Kitkat Update is now rolling out for Samsung Galaxy Note 3, model number SM-N900. The update has already rolled out in a Russia just a few moments ago and it could reach your device within some hours.
This update is only for the international version and again the carrier variants of the Samsung Galaxy Note 3 would have to wait for some more days for the update to reach their devices. The Snapdragon 800 version of Note 3, SM-N905 had recurve the update last week.
So look for your notifications and you might already have the update their. Also you could just connect the device and install the update via Samsung Kies, or just so it by navigating into the Settings> More > About Device > Software update > Update.
So get into your WiFi zones and stay downloading, and do share with us how does the Kitkat flavour feels.