Where is the location of old Bejing Hutong? How to get there from Lee Garden Service Apt?

Well, there are so many Hutong in Beijing(https://www.travelchinaguide.com/cityguides/beijing/hutong/), which could be found everywhere around the China Forbidden City(https://www.travelchinaguide.com/cityguides/beijing/forbidden.htm). Of course, the selected Beijing Hutong, such as Yandai Xiejie(https://www.travelchinaguide.com/attraction/beijing/yandai-xiejie.htm), will give you the most impressive experience. Your hotel is located on Jinyu Hutong, in walking-distance to the Wangfujing Dajie, very good location in city center.

My suggestion is that you could take a traditional and well-arranged Beijing Tour(https://www.travelchinaguide.com/package/beijing.htm), which does include Hutong tour and covers Shichahai area. Or, from the hotel, you could take a taxi to the nearby Nanluoguxiang for a short visit, a popular Hutong in recent years.