Before even the smallest of puddles, you’d better slow down and go through it smoothly without maneuvering or changing speed. If you drive quickly, there is a chance of water getting into the ignition system and making the engine stall. Besides, aquaplaning might start — that’s when a car loses traction, and you lose control of it.
After passing a big puddle, don’t cut your engine, and don’t change your speed. Dry the brakes first: pressing the gas pedal, press the brake pedal a few times. Friction causes heat, so water evaporates from the brake pads.