If you find that entering the water stings the skin, apply a soap substitute or emollient all over before entering the water. Be careful not to slip – a mat or grab rails are helpful. Placing a towel in the bath may also be helpful especially when bathing an active baby. Bath oils do make a mess of the bath. Wipe around the bath with paper towels or tissues – this will absorb excess oil and shine the bath. Warn other bath users that the bath or shower may still be slippery. The bath may be cleaned with a bath cleaner but be careful to rinse it thoroughly before use.
I suspect the answer to your question is in the question itself - hot showers. I had this problem for twenty years before I got to the bottom of it. Just like another respondent above I used to swear by Selsun Blue, it seemed to help reduce the symptoms but never resolved the problem totally. But be careful, Selsun Blue was withdrawn from the UK market several years ago. NEVER leave Selsun (another product from the same company) on your skin for any period of time - it is twice the strength of Selsun Blue and it gave me chemical burns, fortunately without scarring.
From school until the beginning of this year I haven’t had a major problem with it, a few red rashes here and there but it never flaked or weeped, I kept using Vitamin E cream to keep those areas where I was most prone to rashes moisturized. But the past month it’s gotten worse, it started as winter fingers (I’m in Cape Town SA), which I get every year and it’s never been and issue just sore. And I did what I always do, used vaseline/vitamin E cream and it was getting better. But it kept flaring up on and off this entire month… For me this is normal, I’ve been through it many times, so stuck to my usual routines, but over the weekend however I woke up and I saw that it had cracked and I had obviously scratched during the course of the night. I have been battling this entire week to get it under control, I’ve used all kinds of ointments (namely bactroban which I have always used when I see that there is Staph Infection brewing, those damn tiny yellow dots), I even stuck my hand in the sea twice a day to clean the area, it seems to have helped but my fingers are still swollen and red and the past two days it’s been weeping… I thought to stop creaming to dry it out, but now I see that that was a bad idea (and the yellow itchy as hell sores are a testament to that) I was told as a kid that I have dormant Staphylococcus in my system… So due to that, I’ve had to take extra precautions to get my eczema under control. (I have plenty of horror stories as to how bad it used to get).