I’ve experienced very itchy skin since since Peri menopause. I actually switched to showering every other day, and just washing in between. Hot water can be very drying, so it’s better to avoid them too hot or for too long. Same with baths.
If your skin has become more sensitive and reactive, have you considered switching shower gels and moisturisers? Regular shower gel contains ingredients that can be very drying and irritating. Years ago I have minor eczema and switched to all natural products after having to use emollient cream for some time. It totally sorted out my reactive, dry and sensitive skin. It does cost more than the regular stuff but one of the cheaper ones is “faith in nature”. Some coops and Waitrose do it, and all health food/whole food stores do it too. Or you could try a pure olive oil soap (one is called Olivia I think). It’s just one thing less to irritate your skin. Do you use non biological laundry detergent?