The best thing to do is to report it immediately and let the sheriff's office provide advice. If you have prints and a vehicle ID, that may be enough. Odd's are they will avoid your place for a while, so my main focus would be on dealing with them. There is nothing better than prosecution to deter others. Word gets around where the soft targets are and are not.
I would not go with cell cams. Most transmit low resolution pictures and unless you are nearby, but the time you get the picture, can you really respond in time to catch someone? I would focus more on gathering evidence for future events. Small, easy to hide, inexpensive cameras that are high resolution work best for this kind of application. I'd consider black flash. I'd set the camera in burst mode with a short delay between triggers. You will want as many pictures as the camera can take when it is triggered. White flash and red blob will give you better pics at night, but they will give away the location of the camera and the criminals will just take them. More cheap cameras is better than putting money into a cell cam and service. Criminals may find some but get caught by others. Consider unique placement. Elevating them if you have trees nearby can be effective. If you have a point source item like your generator, this can work well.
Thanks,
Jack