Hi joecap,
I am by no means an authority on the subject, but before I go on with my take on your picture, here is the NUMBER ONE rule in photography:
YOU HAVE FUN! TAKE PICTURES *YOU* LIKE.
Now, here is my opinion:
If I were approaching this picture, I would look for more colour, more action and more perspective for the shot. I would take a bird feeder, hang it from the tree there and take pictures of birds feeding against some warmly and more or less uniformly coloured background, say the evening sky, or a patch of grass in the sunlight (blurred). That would bring some interesting colour into the photo. I would also be trying to fill the frame with the bird. After all, the bird is the star of the day.
Also, with the evening sky idea, once the light fades too much for a decent shot, I would try to take a picture of a bird in flight against the beautiful red of the horizon. I would probably fail since I am not that good myself, but I would try: I wouldn't use a flash, I would let the bird be severely underxposed so that only its outline is seen and I would use a very fast shutter so that I get a relatively clean outline of it, but not so fast that the sky isn't seen.
I don't know where you live, but if I lived more south, I would try to attract some exotic birds, say hummingbirds, and take a picture of them hovering in the air, but the birds are not really important.
This is all really hard to get right, I know. I personally don't have a single picture like that (yet).