you can't just curl till you puke and expect your arms to grow. Sure they will grow some, but limited. Since when have you seen a skinny guy with big guns?
You've got to have total development. In fact, even squats help. pull up is one of the best option as well.
Since you work out at home, i would think push ups, squats, lunges, pull ups, handstand press, in addition to all the curls you are planning on.