Dry skin remedies for eczema? At my wits end!

So my 15 month old has eczema and just the driest skin like ever (just like mom!)

With winter now its horrible. Im moisturizing him with either vaseline or aveeno but it doesnt seem to do much. The doc wont prescribe anything and just keeps saying to moisturize, thats it.

What products are good for super dry skin? In canada btw