shut off

Is the Check Engine Light on? If so trouble codes stored in the computer in your car may indicate where the fault is. If it shuts of and then restarts when things cool down it sounds like an electrical component that the sensors goes open when it warms up or fuel that percolates when it is hot and causes a vapor lock. You need to determine if you are loosing fuel or spark when the engine shuts off. A professional grade scan tool does allow you to examine sensor values for many engine sensors straight at the screen of the scan tool without having to do intrusive testing at each sensor.