Trust me Peggy I'm no expert, but I did have the good fortune of working at a trap and skeet range when I was younger. Picked up a lot of good tips there,( as well as a lot of free practice). Fundamentals are everything. Keep your face on the gun stock, before, durring, and after the shot. You should see that bird falling from the sky while you're still swinging the gun. Dont get into the habit of jerking your cheek off the gun at the instant you pull the trigger, to see if you hit the bird. Make the gun become an extension of your head, and FOLLOW THROUGH. I think it was best described to me like this... Pretend your gun is a garden hose, spray nozzle included. You already know you have to lead a moving target, so that the bird will actually fly into your shot pattern. Now, if your not swinging that gun, your spray from that garden hose is going to be just a roundish circle of water. BUT, if you SWING the nozzle, along the projected flight path of your target, you've just enongated your spray pattern about 3 times the size of your original (not swinging) spray pattern. Also, when mounting the gun for the shot, bring the gun to your cheek, not visa versa. Keep your head and eyes level. How often have you seen a new shooter bring the gun up to their shoulder, then cock their head down so they're looking down the barrell.All this does it totally screw up your sight picture, as well as your depth perception.
Practice in your house too. Well, make durn sure your gun is empty, but you can practice your swing and follow through in the living room. Visualize your target, from all different angles. Pick up a snap cap if you don't want to dry fire the gun. If you have one near-by, frequent a trap and skeet range. Skeet shooting IMO will help you more with your swing and follow through, as opposed to trap, where the targets are flying directly away from you, from various angles.