I developed eczema after meno, diagnosed at 63 yo.
Check chemists for eczema creams! I use Balneum Cream, top to bottom. It's marvellous! Great on feet, great on face! It comes in 0.5 litr tubs, and you apply it after shower, just pat dried, on nearly wet skin, all over, :-*so cream can lock moisture.
Hope it helps!