How to add existing flow to a device?

Well, actually, you can!

Use the App Device Capabilitities.
In the App settings, you can export (advanced) flows.
Then press create TEF.
Then click on import and Read.

Now you will get a list of devices, select the new device from the dropdown/list shown for the old device.
Then press Update script and run that script in the dev (follow instructions).

Now you will have a duplicate from the flow in your root folder, with all old devices (and tags) replaced with the new devices.

I use this to copy flows for all rooms that have the same setup (kids rooms).

Works great!

See here, i have documented everything well enough at all these links:
General link:
The Flow Exchange(r) - Exchange Your Flows with Others! - Flows - Homey Community Forum

More specific import link, and specificly what you need:

And as states:
This can also be used to copy/paste flows on your own Homey, and change devices, users, etc., in very fast way!


EDIT:

The Flow Exchange(r) already works great for exporting en import between users, but using it only local, in my experience, works perfectly!