Why is the sentence order houd ik van koken? Why is the ik inserted into the middle of houd and van in this case but not in others?
I think it's not a case that the ik has been moved, but the van has been moved. I think the van has to be before the verb
The 'houd' has been moved to the start of the sentence to form the question.
Think of the equivalent in English: 'I (do) love cooking' vs 'do I love cooking?' or 'she is running' vs 'is she running?'
Why 'koken' with 'ik'?
The inflicted verb linked to the subject ik is houd. Compare Do I love to cook which has the same meaning and the same construction and uses the infinitive to cook like the Dutch sentence.