eczema

Tee
So my 3 month old has eczema. Her doctor didn't prescribe her anything for it, she suggested that I used dove sensitive skin soap , & eucerin body lotion. I've literally spent over 100s of dollars on skin products for my baby and nothing seems to help , I haven't tried the dice or eucerin yet , I will be going out and getting it today. Has anyone tried Dove soap on their babies does it actually help with dry skin? The only thing I'm worried about is it not being a baby "tear free" product so I'll have to be extra careful with not getting in her eyes .