You could attempt the classic bleach water used by many fast food places. A tea spoon of bleach to a gallon of water. Use clean cloth dipped in it to wipe down your high traffic area's, by the time the water dries, you have a sterile none toxic surface. Vinegar to me always left a bit of a strong sent, but I could have been mixing it to high, also keep in mind for cleaning say the bathroom, you may still want to consider something stronger then the bleach water, I've used many orange cleaners that work quite well and don't leave horrid smells, but also leaves you feeling like you need to hit said area's nearly daily.
Keith