To find it, you'll need to look near the A/C compressor itself. The compressor is typically located on the engine's front, near the bottom. The cycling switch will be mounted on or very near the compressor. It's usually a small cylindrical component with wires connected.
Because you're working with refrigerant, accessing this area requires caution. Improper handling of an A/C system can lead to injury. If you're not comfortable working on automotive AC systems, it's best to take your vehicle to a qualified mechanic. They have the proper tools and knowledge to handle refrigerant safely.