To increase your chances of seeing the famous New Forest ponies, there are several areas within the New Forest National Park where they can often be found. Beaulieu Heath, Bolton's Bench in Lyndhurst, and the surrounding areas of Brockenhurst are popular spots to encounter the ponies. These locations provide open heathland and grassy areas where the ponies graze freely. However, it's important to note that the ponies roam throughout the New Forest, so sightings can occur in various places.