I have just seen a bullfinch in the garden on the sunflower seed feeder. This is the first one I have seen for over 2 years so I am guessing it is the cold weather that is bringing them in. Usually when I have seen them they are raiding the pyracantha but those berries have all gone now.
We often see bullfinch on our sunflower hearts feeder and I would think now it has found your feeder it will become a regular visitor.
This afternoon the first bullfinch for a year came into my garden. It was on my vine but did not go to the feeders - I hope that it will come back and discover them.
Congrats to you both for having a Bullfinch in your gardens!
As Brenda says, I should imagine now that is has found you it would become a regular.