Switching from Sport Bike to a Cruiser

I used to ride a sport bike (GSXR750) and I was taught to counter steer. When I needed to go left I would steer slightly to the right. It lets you get a lot deeper into a corner with what I consider more control. I have ridden this way for over 12 years. I would like to try a cruiser and can not get a straight answer. Do you turn into the corner when taking it or away from it when ridding a cruiser?