做试管婴儿 (to do IVF) is the standard verb phrase, often shortened to 做试管. Procedure terminology: 促排 (ovarian stimulation), 取卵 (egg retrieval), 胚胎移植 (embryo transfer).
history
The world's first IVF baby, Louise Brown, was born in the UK in 1978 (Chinese: 路易丝·布朗). China's first, 郑萌珠, was born in Beijing in 1988.