Morning: Visit the Naina Devi Temple, which is situated on the northern shore of Naini Lake. The temple is dedicated to Maa Naina Devi, and it is believed that the eye of the goddess fell here. The temple offers stunning views of the lake and surrounding hills.
Afternoon: Head to the Eco Cave Gardens, which is a natural park comprising of six caves that showcase the lifestyle of the Himalayan people and the wildlife of the region. The caves are interconnected and have narrow passages.
Evening: Take a stroll around the Naini Lake and enjoy the sunset. The lake offers boating facilities, and you can enjoy a peaceful boat ride during sunset.
Morning: Head to the Snow View Point, which offers stunning views of the Himalayas, including Nanda Devi, Trisul, and Nanda Kot. You can reach the viewpoint by cable car or a 3 km trek.
Afternoon: Visit the Governor's House, which was formerly known as the Raj Bhawan. The building has a Gothic-style architecture and is surrounded by beautiful gardens. The house has a golf course, which is open to the public.
Evening: Enjoy some shopping at the Tibetan Market, which is located near Mall Road. The market offers a variety of Tibetan handicrafts, woolen clothes, and jewelry.
You can consider visiting the Tiffin Top, which is a hilltop viewpoint that offers panoramic views of the Nainital town and surrounding hills. You can also take a day trip to Bhimtal, which is a scenic lake surrounded by hills.
To maximize your fun, you can try some outdoor activities like trekking, camping, and paragliding. You can also enjoy some local delicacies like Bal Mithai, Aloo ke Gutke, and Bhatt ki Churkani.
If you have any other suggestions or queries, feel free to ask me.