My style is whatever brings in the most money. I'll take bribes if the money's right, but if I'm presented a moral choice, I always go with the one that's more profitable or, barring that, the least amount of work. As a Bounty Hunter, I don't provide my services for free, so if someone asks me to to save their daughter from the slave traders, they better make it worth my while, or I'm not going to lift a finger to help.
(I will admit, if I really don't like someone, I'll blast them even if it means I don't get extra money. Sometimes, the cozy feeling you get from killing someone you don't like is worth more than the extra credits, haha.)