Eczema is an autoimmune disorder and like all autoimmune disorders, tends to run in families. Almost all my relatives on my moms side have an autoimmune disease. Some have eczema, some thyroid disease, some have lupus or diabetes (both autoimmune), and one aunt has pernicious anemia meaning her body can’t absorb vitamin b from food. Your daughter isn’t absolutely going to get it because her father has it, but there’s a risk. Care of eczema mostly involves keeping any eczema rash spots clean and well moisturized. Child’s laundry soap, bath soap, shampoos and lotions should be hypoallergenic. Short lukewarm baths and avoiding getting to hot are also helpful. Child’s nails kept short and clean to prevent infection from scratching and a diet high in healthy oils and fats are good.
Six year granddaughter has eczema but it doesn’t slow her down or bother her at all.