Chaho, if your near UCLA, its between The Firing Line, and the LAX Gun club. I would opt for the latter. I've never heard of the "Westside" gun club, but since you are staying in the west side, it might be worth investigating.
Destructo6, Do you know of any "little indoor ranges" tucked away in the Hollywood area ? I need to find a place to shoot that has more distance than 50 ft.