For relieving itching caused by eczema in children, ointments containing anti-inflammatory ingredients can usually be used under the guidance of a doctor to alleviate symptoms, but the specific choice should be based on the type and severity of the eczema.

1. **Mild Eczema Care:** If the skin is only slightly red and dry, you can first use a moisturizing cream to keep the skin moist, which will help reduce itching.

2. **Treatment of moderate to severe eczema**: When there is significant redness or increased itching, doctors often recommend short-term use of mild steroid creams, such as hydrocortisone, which can effectively control inflammation and itching.
3. **Non-hormonal alternatives:** For recurrent flare-ups or sensitive areas, calcineurin inhibitor ointments may be considered. These medications do not contain hormones and are suitable for long-term management under the guidance of a doctor.
4. **Auxiliary methods to relieve itching:** Applying cold compresses or wearing loose cotton clothing can reduce scratching and prevent symptoms from worsening.
In daily care, avoid using irritating washes and conditioners, and trim your child's nails regularly. If the eczema persists or worsens, please seek medical attention promptly to adjust the treatment plan; do not self-medicate for extended periods.