For shopping, you can choose Shangxiajiu Lu 上下九路
or Beijing Lu 北京路
and One Link Plaza....
I'm not a shopaholic person. So I'm not that good at describing those places.
When you shop in Guangzhou, you should have a partner who doesn't shop but willing to help you carry your belanjaan. Just don't forget to give them wang lao ji, they are usually happy enough with that.
Transportation
The easiest way to get around Guangzhou is by Metro, its lines has been widely expanded after 2010 Asian Games. It even connects all the train station and the Guangzhou Baiyun International Airport. Other public transportation is bus, also very fast if you can understand the Chinese characters. What I not really recommend to go around the city is the taxi. It's more expensive, not easy to get, and the driver usually speaks Cantonese or nonstandard Mandarin which is not very easy to understand unless you are a local.
Besides K, T, Z train, Guangzhou is now connected with big cities by bullet trains (D and G train).
D train (dongche 动车) is bullet train which runs around 250km/h, while G train (gaotie 高铁) is bullet train which runs faster, around 350 km/h.
With D or G train you can travel from Guangzhou to Changsha (the capital city of Hunan Province) and Wuhan (the capital city of Hubei Province) on WuGuang 武广 lines. Besides that, you can also travel to Shanghai, Beijing, Shenzhen, as well as Hong Kong (Hung Hom station).