If you already have an LED can you not just take a feed from there with a bit of speaker wire?
If you also as paranoid as me about the car you can fit a hidden switch running from an ignition live source, i powered 2 12v sirens, one behind one of the centre air vents facing the driver seat and one in the scuttle tray in front of the polen filter... I arm it every time i leave the car, my astra was nicked with the key, least this way they get a face full of 120db even if they have my keys and they should scarper quite quickly, cost less then £20 too 🙂
http://www.vectra-c.com/forum/showthread.php?116848-How-To-Fit-a-quot-Hanoi-Style-quot-Burglary-Car-Alarm&highlight=hanoi