london to beijing, transit, then onto HK?

Hi, I plan to travel to Beijing from London, stop for 2/3 days in Beijing to visit family, and then fly to Hong Kong for about a week. Then I will be entering China (Guangzhou) from HK and staying there for a month. After I will leave China for a few weeks but fly back to Beijing to stay for a few weeks more. Will I be able to get the free transit stop if I go back into China? This way, I plan to get a double entry Visa, although technically entering China three times.
Thank you.