China and Taiwan have many western-style department stores where the shopping experience is similar to stores in the US. There may even be staff on hand who speak a little bit of English.
Department stores can be very expensive, though, so if you’re looking for real bargains you should check out some of the thousands of small shops. You may be able to bargain in this type of store, but often the prices are fixed.

Shopping

Audio files are marked with ►
go shopping
►shàng jiē
上街

go window shopping
►guàng jiē
逛街

I’m just looking.
► Wǒ zhǐ shì suí biàn kànkan. 
我只是隨便看看

I’m looking for…
► Wǒ yào zhǎo…
我要找…

Clothes

a dress
►yang zhuāng
洋裝

a skirt
►qún zi
裙子

pants
►kù zi
褲子

shorts
►duǎn kù
短褲

underwear
►nèi kù
內褲

Shirts

a blouse
►chèn shān
襯衫

a shirt
►chèn shān
襯衫

a t-shirt
►tī xù
t恤

short sleeves
►duǎn xiù
短袖

long sleeves
►cháng xiù
長袖

sleeveless
►wú xiù
無袖

Shoes

shoes
►xié zi
鞋子

sports shoes
►yùn dòng xié
運動鞋

leather shoes
►pí xié
皮鞋

high-heel shoes
►gāo gēn xié
高跟鞋

socks
►wà zi
襪子

Other Shopping Vocabulary

style
►kuǎn shì
款式

Do you have this a little bigger?
►Yǒu méiyǒu dà yīdiǎn de? 
有沒有大一點的?

Do you have this a little smaller?
►Yǒu méiyǒu xiǎo yīdiǎn de? 
有沒有小一點的?

Do you have this in another color?
► Yǒu biéde yán sè ma? 
有別的顏色嗎?

put on – wear
►chuān
穿

How much is this?
►Duō shao qián?
多少錢?

discount
►zhé kòu
折扣

receipt
►shōu jù
收據

wrap something
►Bāo qi lai
包起來