To effectively cut peel and stick tiles, essential tools like a utility knife, measuring tape, and cutting mat are required. Different cutting techniques are used for various tile materials, including the score and snap method for straight cuts, the straight cut method for clean edges, and the curved cut method for intricate shapes. Safety precautions should be followed, such as wearing protective gear and cutting away from the body. Precision cuts are achieved by carefully marking cutting lines, using sharp blades for clean breaks, and employing a scoring tool for precise curved cuts.