Here in the future (ACT compared to Adelaide) we have a place at the local tip where you leave your old car batteries.
Shortly after you drop it off a pasty looking nerd with a multimeter will "check" it and if it us useful to him, he then loads it into the back of his old cortina wagon to do god knows what with???????
Never heard of a battery pick up service though?
Just do what bogans do and throw it in the nearest body of water