What is 4 important take-a-way points I should remember to treat my eczema?

Moisturize! . Moisturizing often, especially after showering or bathing is key to eczema control. Accepting the need for topical steroids or calcineurin inhibitors is also key. I would investigate triggers and remove anything in the environment which may be flaring the eczema.
Four points are... Take soaking baths with moisturizing soap, pat dry, apply moisturizing agent (vaseline, unscented lotion, aquaphor, etc.), apply topical medicine (topical steroids, protopic/elidel).