One of the most common problems which create that in-to-out swing path that pushes your shots to the right happens at the start of the downswing. This happens to a lot of good players. When they reach the top of the swing the tendency is to slide the hips too far forward, you feel like you are overusing your legs a little bit, so your hips end up going past the point where they should start turning towards your target. This blocks your swing out from going to the target and makes the club swing out to the right, producing that push shot. What you would like to have happen is that from the top of the backswing there should be a shift to your left leg and then a rotation that squares the club up and makes it swing on and around to the left and into the follow-through. An excellent drill for learning to turn at the right time is to put a bag stand by your left leg. Just put the end of the bag stand on the edge of your outer sole of your shoe. Take your setup and then practice hitting shots feeling like you are turning inside of the bag stand. So on your backswing go back to your right heel, shift to your left toe, and rotate without hitting the bag stand. This will create a hip clearing motion which takes the club down the line and back around to the left. This is a wonderful way to get rid of your push.