What's the korean phrase for "I clean my house and cook"? What are some other housework phrases?
Like you don't want your house to smell awful or this house is so messy

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When you want to talk about this to your friend,  you just can say "집안 청소하고 요리해(요)." This could be more natural.

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Hi! 
I'm learning korean. 
So I think that the phrase could be this way:

저는 우리 집 청소하고 요리를 합니다.

I don't know much korean, but I hope I was helpful.

:)