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A varied but fast-paced 3-week trip would start in Beijing. Don't rush this important city. Aim to spend at least 4 days here, including a visit to the Great Wall of China. Two full days in Xi'an is sufficient to explore the city and see the terra-cotta warriors. Then spend a few days in Shangai, including a day trip to Suzhou and an overnight in Hangzhou. After those urban experiences, you'll want to see rural China. Time spent in both Dali and Lijiang will acquaint you with the diverse cultures of the magical Yunnan province and afford some real time for relaxation. A couple of day's trekking in the rainforests of Xishuangbanna sets you up nicely for a final shopping splurge in Hong Kong, taking in a jet foil trip to the high-stakes gambling tables of Macau.