The correct option is C working out at the gym
When a comparison is made between two phrases, they should be parallel to each other in their grammatical structure. The underlined phrase "a gym workout" isn't consistent in structure to that of the phrase "cleaning the house" which it is being compared to. It needs to be changed, hence option D is incorrect. Option A is incorrect because 'that' is a demonstrative which modifies a noun that's been mentioned before. In the given sentence, it does not modify any such noun. Option B is grammatically incorrect. Option C is correct because the phrase "working out at the gym" is parallel in structure to that of the phrase "cleaning the house".