When handling pet mice, it's important to approach them gently and calmly to avoid startling them. Use both hands to pick them up, supporting their body to make them feel secure. Avoid grabbing them by the tail as it can cause them harm. Allow your pet mouse to explore your hands and get used to your scent before attempting to lift them. Always supervise children when handling pet mice to ensure they are being gentle and not squeezing or dropping them.