I suggest you to turn on automatic updates on Galaxy Store & Play Store and let them take care of updates automatically so you don't have to worry about it.
Open Galaxy Store >> More options >> Settings >> Auto update apps.
Open Play Store >> Menu >> Settings >> Auto-update apps.
For software updates of your phone, you can do it by opening Settings >> Software Update >> Toggle on Auto download over Wi-Fi.
When a software update is available for the earbuds, the Galaxy Wearable app will notify you with a popup. Tap Update, tap INSTALL NOW and then follow the prompts.
To update watch software, open the Galaxy Wearable app on the connected phone >> Home >> Watch software update >> Toggle on Auto download over Wi-Fi.