Hi, I thought I'd throw this in even though it is over a year old for anyone else who's in a similar position. I had pretty bad facial eczema at university(probably all the alcohol!) so I'd have really dry scaly skin on the corners of my nose and mouth which I couldn't get rid of...itchy, red, all pretty nasty!
The Dr's gave me steroid creams which initially helped but I ended up using them for a couple of years but it never got rid of the redness. In fact it made it even worse because it thins the skin so anytime in the sun will give you bad sunburn and I even started getting small spider veins on my nose from the cream! DON'T USE THEM!
I've all but got rid of the eczema now from a simple daily routine...E45 lotion (cream is too thick for me!) twice a day after I shower. Only use an unperfumed and gentle soap(Dove) and try to steer clear of any other facial applications (aftershave for blokes...or any fancy creams etc for girls I would think) Also shaving with a blade really drys my skin out and brings the eczema back so invest in a good electric razor and kiss your worries goodbye.
Simple, cheap, effective...and don't listen to the Drs...they just want to make you spend money and then make it worse.