to look for the hotel you like. The best thing about this website is that it provides reviews from the travelers. If you want to live in a family style inn in a Hutong, I'd like to suggest the following for you:

北京广济.邻恋恋客栈（Beijing Templeside Lianlian Hutong Guest House)
北京市西城区赵登禹路安平巷8号 100035
010-86006077

below is the URL for the reviews:

http://www.daodao.com/Hotel_Review-g294212-d1232767-Reviews-Templeside_Lianlian_Hutong_Guest_House-Beijing.html

Wish you and your family a pleasant visit to Beijing!