I suggest you poison the plant. The most effective way being to spray the leaves as they develop. However this could be a problem for you as the bush would have to be allowed to grow to this stage.
Perhaps a better option would be to cut the bush and its offshoots, down to ground level. This will not kill the plant immediately. However, over a period of time, if you continue to cut it at ground level as it tries to grow, it will die. Also by using this method, you will not have a thorn problem.
Best of luck.