There have been many good putters using many different methods. If you are good at putting, stay with what you have. If not, this is the method that I have found works best.
Predominantly, we are trying to use a stiff-wristed arm motion with power created by a movement of the bent arms. The body is stationary. Our goal is to impact the ball with a solid, non-glancing blow and roll the ball in an end-over-end fashion.
Golf being a side-on sport, our eyes can play tricks with our aiming. Learning to aim is super important. Many missed putts and bad form come from your aim. Study the aiming photos and videos well.
Chip putting
Uses a very similar method to putting. With a few small variations of stance and posture you can have great success around the greens.