To pronounce the Engpsh phrase "taking the subway" in a way that mimics the sound and rhythm of Chinese, you can say: "Tāi-kīng dhē sŭb-wēi"

Here is a breakdown of the pronunciation:

"Tāi" (太) rhymes with "tie" and is used to indicate the verb "to take"
"kīng" (车) rhymes with "king" and is used to indicate a vehicle or mode of transportation
"dhē" (的) rhymes with "they" and is used to indicate possession or belonging
"sŭb-wēi" (地铁) rhymes with "sub-way" and is the Chinese word for "subway" or "metro"

So, when pronounced together, "Tāi-kīng dhē sŭb-wēi" means "taking the subway." This phrase can be used to describe the act of riding or using the subway or metro system as a means of transportation.