How do I get rid of a chirping noise:

To the best of my knowledge you can't. The system is controlled via the body control module and activated by the key in the ignition lock, built in timers control the chime duration depending on circumstances that the system detect when activated, I have been told that the actual audible device can't be removed as the system needs to recognise this device or the security system will go into shut down mode as it will consider this an unauthorised attempt to start the car. You may wish to confirm this with a dealer.