I have only ever speared moki.
But I have read that a small hook, maybe 3/0 with a small bit of crab or shellfish for bait. I have also heard a large hook with several whole mussels is a good way to catch big Moki.
Moki become more active at night/dusk.
Tarakihi generally live in deeper water 10m+, they have a small mouth so a small hook would be ideal. But I have caught them on fairly large hooks meant for Blue cod before while boat fishing.
Without checking my guide, you could probably get both Moki and Tarakihi on a 3/0 hook. Although they typically live in different areas.