8 -year-old-son-beats-family-dog?

Why on Earth would anyone think the solution is to move? For that matter, why, when your child exhibits cruelty to animals, is your first reaction therapy? It's called punishment. Learn to not be so weak and pathetic.

Any of these options will do nicely;
a) no watching sports with the little psychopath.
b) discipline your misbegotten terror each and every time he so much looks at the dog with malicious intent, or
c) put your little ungrateful bastard through counseling, and tell him (once you've found your backbone) that you could give a shit if he hates you.

On a side note; I am ashamed for you, that you have so little manhood, that you'd let this child manipulate you, I almost can't believe you're a real person.