notifications on gear s 3 classic,frontier , lg style watch and urbane watch

[Droider80]

I have a note 3 on sprint and I was wondering if there is anyway I could push notifications and calls to these watches with my phone home since some of these watches are from other carriers?? also would I have to purchase a watch with phone connectivity such as the urbane or gear s 3 frontier or can I just use a standalone version without phone and still get notifications??how and why would you connect a phone to wifi leave it home and connect the watch to wifi? Hope someone can help.. Thanks