I'm not sure exactly what action you are describing by "took up". Normally you can simply say: Suddenly it started to rain heavily, so he put up his umbrella . If his umbrella was in something it could be taken out of, most likely a bag, then you can say: Suddenly it started to rain heavily, so he took out his umbrella and put it up.
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lucas21cSorry, that's my mistakes. 'up' should have been 'out' in (A) and (B). Here is my question again. Is "Suddenly it started to rain heavily, so he took his umbrella out and put it up" also possible?Yes.
lucas21cThen, in conversation, "took his umbrella out" is commonly preferred?No, not necessarily preferred. I'm just saying that I wouldn't be so fussy about it in conversation.