I would try a moisturizer cream that contains ceramides such as cerave cream. I prefer creams as they are more moisturizing and seem to retain moisture better. Also, when bathing, use a soapless cleanser such as cetaphil or cerave since these don't dry out your skin quite as much.
If your eczema
doesn't improve, consider a visit to a dermatologist who can possibly prescribe a steroid cream or ointment.