Answer:
This would sound better if you said 'hygiene care'. Then this will pertain to all your teeth and mouth. So says my Aunt Laura.
From the lighter side (for extra points) It is considered proof positive that the "toothbrush" itself was invented in Arkansas: Had it been invented ANYwhere else, it would have been called a "teethbrush"!
PLEASE direct all inquiries on this to Jeff Foxworthy, famous for the "You MIGHT be a redneck if..." line of humor.