Trek To Hanuman Ghadi
Located at a height of 6,401 feet above sea level is the Hanuman Garhi temple, which is a famous Hindu temple near Mall road, Nainital. The temple is about 3.5 km from the Tallital Mall Road which is well connected by road.
The temple holds great mythological significance as it was built by Neem Karoli Baba who was a famous saint during the 1950s. The temple is dedicated to Lord Hanuman who is believed to be the epitome of strength, loyalty and dedication. Lord Hanuman devoted his entire life in the service of his mentor and idol, Lord Rama. The temple has a huge statue of Lord Hanuman who is believed to be protecting and guarding the area and locals. A golden umbrella is also installed overhead the statue.
The inner shrine contains an idol of Lord Hanuman opening his chest and showing images of Lord Rama and Goddess Sita in his heart. Lord Hanuman, also known as Maruti Nandan, is the son of Lord Pawan (Air) and Anjani Mata. In the temple, there are shrines of Lord Shiva and Lord Rama also.
Trek To ARIES
Aryabhatta Research Institute of Observational Sciences (ARIES) is a research institute in Nainital, Uttarakhand which specializes in astronomy, solar physics, astrophysics and atmospheric science. It is an autonomous body under the Department of Science and Technology, Government of India. The institute is situated at Manora Peak (elevation 1,951 m or 6,401 ft), about 9 kilometres (5.6 mi) from Nainital, a popular hill station. 
The astronomical observatory is open to the public on afternoons, and on occasional moonlit nights with prior permission.
Source :- Wikipedia
MOSS Garden, Nainital
Located at a distance of 7Km for the property lies India’s first moss garden which was inaugurated at Khurpatal in Uttarakhand’s Nainital district . The garden, spread in an area of around 10 hectares, has been developed by research wing of state forest department and was inaugurated by Ramon Magsaysay awardee and renowned water conservation activist Rajendra Singh.
Himalayan Botanical Garden, Nainital
It is located around 8 Kilometers from Nainital. One can always combine with other attractions in the same direction as Wood Land WaterFall, Khurpatal Viewpoint etc.