Rickyp,
I'm not really a hunter, but if you are having a problem with blackbirds, might I ask if you are hitting them in the wing area?  That I understand is the hardest (read : armor) point on a bird and the birds frame and plumage makes good shots difficult.
lil_hunter,
I won't laugh at you.  Last I checked, the Shadow I have shot the Crosman Premier Hollow Points (500/tin, Wal-Mart) rather well, perhaps even more accurately than I can appreciate on the indoor 30' range in the basement.  I just have a bit of trembling/shaking that makes benchresting "interesting."  Believe me, I'm not exactly a "Rifleman," or boast of spectacular feats.  I was once asked by a young lady at an indoor shooting range how I was able to keep my shots in such a tight group with my hands bobbing and weaving (offhand).  "Luck" was my response.