November is a good time to visit Nainital. For stay there are hotels available near Naini lake and so many other within 2-3km of circle. Other than these some resorts and homestays also available in within good distance of nearby area. For sightseeing you can book packages available at local travel operators there. Which includes Himalaya darshan, tiffin top, eco cave garden, snow view point, bhimtal, naukuchiatal, sattal, khurpatal, high altitude zoo, pangot, kainchi dham etc.