OP has specific instructions for weapons so
Perseus's weapons: Sword, shield, strength
Perseus's magical items: Cap of darkness (invisibility helmet), winged sandals, head of Medusa
Hercules's weapons: Golden Sword, Bow, Club, phenomenal strength
Hercules's magical items: Nemean lion skin, poisoned arrows (poisoned because of Hydra blood)
Who do you think will win? Vote here.