The motion lights and camera are an excellent idea. House dog, too. Once you catch some of the perps with the evidence, word'll get around for those to not cut through your property.
As for those (I know some were jokes

) suggesting certain signs, firearms, booby traps, etc., you can kiss your house (and any hope of future property ownership) with the tremendous legal costs defending yourself from the modern "Sue 'em even though it's my fault" mindset.
Edit: ... above if due to death or serious injury.