I care more about my dog's health than my step dad's.
I'm not sure why you care more about your dog's health? Care to explain?
My dog loves me, but my step dad doesn't really care about me.
Even if you think your step dad doesn't like you, you should still care for him. He is family, and you're supposed to care for members of your family. If you don't everyone else in your family will think you are cold and uncaring.
I hate him because he won't give me money.
Just because he won't give you money, doesn't mean that he doesn't care about you and you should care about him. Family is very important, and you should be there for each other. How would you feel if no one was there for you when something was wrong because they cared more about their animals?