I’ve had the skin shedding thing happen to me too.
I use an aloe gel that is really meant for sunburn relief but it has aloe and vitamins E, A, and a whole bunch more I can’t remember. It works awesome and really helps with any other irritation you may have on your dick like maybe trimming your pubes or whatever. It isn’t so slick your hand flies off and hits your knees and it doesn’t just rub in real quick it’s just about perfect. It’s made by Hawaiian tropic and is a clear green tinted gel.
I have used the olive oil and vegetable oil and even Crisco but nothing has worked as well as the Hawaiian tropic and also the oil is so damn hard to clean off, even after a shower it still feels oily.
If you must use soap however may I recommend cetaphil facial bar soap. It actually isn’t soap at all in a traditional sense. I use this on my face two times a day and it never dries me out at all and it’s has a helluv a lather. And it lubricates VERY well also, I actually use it to shave my face daily and it keeps my face from breaking out unlike other shaving products I have tried.
Just my 2 cents
Loco