I was a bit confused about what Continuity was using: Bluetooth, no Bluetooth, Wi-Fi, Wi-Fi + same network, no Wi-Fi
So I tried all the combinations, and made a short video to explain it.
I see some people saying they go to the right app, but the text is not transferred, like it should be in Mail for example. For this, Bluetooth is not enough, Wi-Fi is also required (although the two devices don't need to be on a common network).
Excellent video! Explained it all so very well. Thumbs up from me.