The air polisher you are referring to is for stain. To remove the tarter, the dentist can use an ultrasonic scaler or hand instruments. The process is quite easy. The biggest problem you will have is the apprehension you are experiencing now and more as the appointment time comes closer. Once it's over, you'll probably wonder why you were worried in the first place. If you have let it go way too long, the dentist may recommend deep cleanings (root planning). This is like a cleaning, but you are numb for the procedure. It's the same thing where it sounds worse than it is. You can ask you dentist if he will prescribe valium or Ativan for you before the procedure. This will help calm you down. You must have someone drive for you since these medications will cause drowsiness.