No matter what your level of golf, whether you are a complete beginner or a professional golfer, when you hit a shot that is struck from the centre of the club face is has a really 'easy' feel.
The club head glides through the impact with the golf ball with no problem and there is no feeling of vibration transferred through the shaft of the golf club to the handle at all. This is because shots struck from the very centre of the club face are hit from the 'sweet spot'. The sweet spot of the club face is about the size of a medium coin in the middle of the face and any golf balls struck from this area of the golf club will achieve maximum distance and accuracy.
This is the area of the club face that you are aiming to strike the golf ball from. Any impact with a golf ball from outside of this area will experience an amount of vibration that travels up through the shaft of the golf club into the handle and into your hands. The further away from the sweet spot that the ball was struck, the more vibration is experienced and there is nothing worse than mis-hitting a golf ball on a cold day, with cold hands - it stings!
The cure for vibration is to strike the golf ball from the centre of the club face. You can work on doing this by getting yourself some impact tape. This then sticks to the club face and shows you the area that you are working to strike the golf ball from. Once you have the face tape on the club face, set up to the golf ball and play your shot. As the golf ball strikes the face and the tape, it will leave a dark impact mark that you can look at to see where the connection was made. Do this a few times to get an average for where from the club face you strike the golf ball from.
If you notice that you striking the golf ball from the toe or far end of the club face, then try standing a little closer to the golf ball. This will help centre the strike. If you notice that you are striking more towards the heel of the face then stand a little bit further away as you set up and then swing from this position. You should notice that the impact mark moves towards the centre of the club face. Keep adjusting until you are standing the correct distance away from the golf ball and noticing that you are striking from the very centre of the club face.
When your impact mark is here, you will have cured the vibration that you were experiencing before.