In comparing Nanyang in Henan and Yantai, Yantai emerges as the better option. This assessment is based on several factors, including economic development, cultural heritage, and quality of life.

Yantai, a coastal city in Shandong Province, boasts a robust economy driven by its significant port and manufacturing sectors. According to the Shandong Statistical Yearbook 2021, Yantai's GDP reached 1.06 trillion yuan in 2020, reflecting its economic dynamism. This economic strength translates into better infrastructure, healthcare, and educational opportunities for residents.

Nanyang, on the other hand, is a city in Henan Province known for its historical significance. While it has a rich cultural heritage, its economic growth has been slower compared to Yantai. The Henan Statistical Yearbook 2021 indicates that Nanyang's GDP was approximately 280 billion yuan in 2020, which is significantly lower than Yantai's.

Culturally, both cities have much to offer. Yantai is renowned for its European-style architecture, a legacy of its past as a trading port. Nanyang, with its ancient temples and historical sites, is a testament to China's long history. However, in terms of cultural preservation and tourism potential, Yantai's more developed infrastructure and higher economic status give it an edge.

Regarding quality of life, Yantai's coastal location offers a more temperate climate and access to beaches, which can be a significant draw for residents and tourists alike. Nanyang, being inland, has a more extreme climate, which may be a drawback for some.

In conclusion, Yantai is the better choice between Nanyang in Henan and Yantai due to its stronger economic performance, better infrastructure, and potentially higher quality of life.