Where does a question word go with "did ... use to"?

Put it before "did": "Why did you use to keep a diary?" Then check that the subject comes before "use to". Changing the question word doesn't change that order.

Do "yet" and "now" tell me which structure to use?

They help with the time, but they don't decide the meaning alone. "Are you used to it yet?" asks about familiarity; "Have you got used to it yet?" asks whether the change has happened. Read the whole situation.

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Used To - Question Forms Exercises

B1-B2 Level

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Start with what you want to ask. For a past habit or state, use Did + subject + use to + base verb? For something that feels familiar now, use Am/Is/Are + subject + used to + -ing? To ask about becoming familiar, use Am/Is/Are + subject + getting used to + -ing?

Some questions ask whether that change has happened by now: Has she got used to...? Slow down when there are two gaps: the first verb and the words after the subject must fit together. After did, write use to without the d.