First of all work on your iron and wedge game, the closer you are to the hole will improve your putting stats!! Related to your putting stroke, feel your chest and shoulders making the stroke as opposed to your hands. My fellow instructors who teach better players tell me that putting is in your hands but that’s feel and most normal players don’t have as much feel. Lastly try different grips and see if one gives you better touch and distance control and if you find something ride it until it no longer works and then try something different.
Remember putting is so individual, no matter what you do, if it works don’t change anything and good luck with the most mental part of the greatest game on earth!!