You obviously put a lot of effort into this piece, especially with the fur. However, I feel like the whole thing looks quite flat. Maybe a greater use of shades and tones would help. The two areas that I think would really help this piece pop are: one, the area around the bird; it seems to be sort of glowing, so having that glowing light on the face and hand and a little on the chest would look wonderful. The second area that could benefit from some nice dark colors are the shadows around his feet. His lovely feet get quite lost in the darkness and detail of the rock around them, so putting some very dark shadows around them would help, I think.
Overall, I do think it's a very nice piece. The composition is great, and I love the contrast of the bird against the dark backdrop.