Owners should schedule their puppy's first dental check-up with a veterinarian around six months of age, coinciding with the completion of the teething process. This timing allows the veterinarian to ensure that the adult teeth are coming in properly and to check for any retained baby teeth or other dental issues. Early dental check-ups help establish good oral hygiene habits and allow the vet to identify and address potential problems before they escalate. Regular dental care is crucial for maintaining a puppy's overall health and preventing future dental complications.