We eat garlic almost every night in stir fried concoctions, curries, into rice with chopped ginger, sometimes twice a day as DH adds a good quantity to my pizza and his salad ...... Have no trouble with bleeding gums ....... we do use Tip-ees in between the teeth. Several times a day.
Any medical condition which ends in 'itis' means infection. [Tonsilitis, appendicitis, gingivitis]. Therefore seeing a dental hygienist is good to get to the basis of any problems. Garlic applied to the gums may cause soreness as it can be quite warm!