Awful thorny bushes w/ no berries

[YurtGirl]

We have these atrocious thorny bushes that produce no berries, just millions of vicious thorns. We've waged war on them a few times w/ thick gloves and a pick, but they come back w/ a vengeance. They get extremely tall very quickly, travel underground w/ a pretty large root system and pop up everywhere. The Rose beetle also loves them. Anyone have any advice to keep these away? Leaf is almost heart shaped. Baby stems are covered in bright fuscia hairs.