I'm just going to add a little bit of info here because I also suffer from extremely dry skin. Anything but my own soaps makes the skin on my hands and fingers crack.
I spent over a year reading blogs and watching videos online before making my first soap, Soaping101's Bastile recipe back in 2014, which was mild but not enough for me.
My skin has gotten worse since then, but I've also kept reading about my addiction, I mean my hobby, and have found that a slightly lower saturated amount of oils makes a milder soap, say my current recipe that I've been making for about 20 months now, is a family pleaser.
Just in case anyone wants to give it a go:
Lard 50%
Olive oil, light 30%
CO76°F 15%
Castor oil 5%
Super Fat 6 or 7% (depends on the weather, skin type, your water quality, etc.)
Water:Lye 1.7:1
Below is the link to the
soap recipe calculator I use. Should take you directly to my recipe and all it's characteristics. ETA: please let me know if it doesn't!
https://www.soapmakingfriend.com/soap-recipe/45336.soleseif-2-in-juneau
If you use this recipe by the hot process method, I'd suggest you use the the water to lye ratio 1 to 1 because it'll evaporate that little extra water.
And as others have suggested, I'll second, let your soap cure just like the cold process. I've made hot process and only once did I not cure it for the usual 6 weeks or longer, and it dissolved so quickly, less than 2 weeks, that I almost cried. It had mango puree that one...
Just hope this helps.