Removal of wisdom teeth is commonly done under local anaesthesia. With proper technique, the area is completely numb, and the procedure will be painless for you. As with any surgery, the recovery involves some pain and swelling. However, with modern painkillers, this process can be made much more manageable.
Particularly anxious patients can opt to have the procedure done with intravenous sedation, administered by an anaesthetist. It induces a completely relaxed state, and you will have no memory of the procedure.