Kiva at Bandelier National Monument, New Mexico. A kiva is a room used by modern Puebloans for religious rituals, many of them associated with the kachina belief system. Among the modern Hopi and most other Pueblo peoples, kivas are square-walled and underground, Visit Santa Fe, rent a cozy historic adobe home in town, good winter rates, walking distance to the plaza, check it out Airbnb 2562597, Winter in New Mexico is beautiful for skiing, snow shoeing and hikes under the full moon.