You can say "여기서 더 있다 가실 거에요, 아니면 집에 가실 거에요?"
just to help the understanding,
여기=here, 더=more, 있다=be(->so 더 있다 can be stay), 가다=go, 집=home, 아니면=or/(translate directly)if not
(grammar part) -에=to, -거에요?=asking phrase, -실=added term to show politeness
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August 21, 2017
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In context of people using transportation means(ex; car, public transportation, taxi, train, etc.), it is 교통비.
If you are using the term for freights like shipping and air cargo and stuff, you should say 운송비.
-비 means cost, 교통 normally is used to describe transportation carrying people(ex; public transportation = 대중교통) and 운송 is used for carrying objects(ex; shipping/air freight shipping/overland transport = 해상운송/항공운송/육상운송).