All of my three kids have very serious eczema during 1 to 12 months, We have tried every kinds of bath oil, moisturiser, cream etc.
Currently we are using DermaVeen for bath and Cetaphil moisturiser for my little one (currently 7 months) on whole body after bath.
Eczema occurred on my baby's body one month after birth and developed to the most serious stage at about 5 months old, then it eventually became weak and totally disappeared after one year old.