"Red star" needs a bit more description, too general. Species identification is quite important in this regard. Fot the chocolate vhip star, they are omnivor predators and can be target fed. Small pieces of raw meaty seafoods will suffice. They are not reef safe and not above snacking on tank mates either.
As for the red star, more commonly they are rather difficult depending on species. At minimum they will need a well matured tank, plenty of LR
and few if any competing animal species. Primary food sources include bacterial slime and film algae so this also includes grazing snails.