To perform Trousseau's sign in children, the following steps are taken: 1. Explain the procedure to the child and parents to obtain cooperation and reduce anxiety. 2. Inflate a blood pressure cuff on the child's arm to a pressure above their systolic level. 3. Maintain the pressure for 3 to 5 minutes. 4. Observe the child's hand for carpal spasm, which includes flexion of the wrist, extension of the fingers, and flexion of the thumb.