Eczema

You can see an allergy doctor. Skin sensitivity usually relates to some allergy. Doctor will probably prescribe steroid cream but it's completely fine to apply thin layer only. Apply moisturiser 3 times a day in thick layer. Don't use soap during bath time but use bath oil instead. I followed this regime as instructed by doctor and my baby's skin improved drastically in 1 week (she had pretty severe eczema + skin dryness before)