My daughter has eczema since 2 weeks old. I take Omega 3 DHA since 3rd trimester for the same reason as Gataloca. However, I realised when she was 6months that seafood may have contributed to her flare up and Omega 3 is fish oil! So, i stopped taking them and noticed her eczema didn't flare up as much as before. Now, she still gets the occasional flare up but not that bad ( she is now 8 months ). so I take them every 2nd - 3rd day depending on her skin condition.
I had my daughter tested for allergy when she was 6 months old and she came back positive on egg White. I intend to re-do the test when she turns 1. She did the blood test and not the skin test.
Probiotics also helps her eczema. What works for us is a mixture of creams - California baby ( contains aqua which is good for the eczema skin which doesn't know how to retain moisture/water) as a base, then we seal it with either burts bee or repcillin crocodile oil. We use qv bath oil as well. Once a week or on days she has flare up, we bath her in honeysuckle brown sugar water + qv bath oil as it seems to soften her skin.
We give her Chinese herbal water (some sort of grass + sugar pumpkin) to detox her body weekly. Since she started taking this, we see a significant reduction in flare up. For us, that was her "miracle potion". She still has mini flare up but that is due to allergy to food with starting solid.
All our clothes are now washed with extra rinse cycle. We used to "double wash". We change our bedsheets twice a
week. We have a humidifier turned on 24/7 as air conditioner drys their skin. The air purifier is also turned on at night.