The correct sentence is D. Picking up the children, making afternoon snacks, and organizing outdoor activities are my jobs at the daycare center.
A parallel structure implies using the same grammatical form or structure in a sentence. In D, "picking up + noun phrase", "making + noun phrase" and "organizing + noun phrase" are all used in the same grammatical structure. That is to say, the verb in its gerund form and a noun phrase following it.