Ensuring safety during indoor enrichment activities for dogs involves several precautions. First, choose age-appropriate toys that are durable and non-toxic to prevent choking hazards. Regularly inspect these toys for wear and tear and replace them as needed. Create a safe space free of obstacles where your dog can play without risk of injury. Avoid small, swallowable items during games like Hide and Seek or the Three Cups game. Lastly, supervision is crucial to immediately address any potential dangers and ensure the activity remains safe and enjoyable for your pet.