To become a great chipper, you want to learn to control the trajectory of your chips. Work hard this winter. It will show up real quick in your scores in the Spring. Richard, You have taken a great first step by already taking golf lessons. Putting is a combination of having the right direction and the right distance.
Distance is the most important.
However you may want to work on your direction first. To work on direction first, set up to hit a bunch of 2-3 foot putts on a flat surface. That can be on a putting green or on a short carpet at home. This will help you learn to square the putter face through impact. That becomes very important for every putt.