My spouse and I’ve used this for a couple years
AquaYouth 2.0 Shower Head Filter https://www.amazon.com/dp/B087HBJDV8/ref=cm_sw_r_cp_api_i_ZCB5TTR1WAVFZ7RN9AX2
Its not perfect, filters gotta be replaced every few months, and the difference we noticed is perceivable softer hair after the shower. neither of us experienced dry itchy skin prior to using this, so don’t have baseline there.
we tried some of those round silver colored screw on filters on amazon but found this aqua youth filter to be better in general (softer hair, doesn’t reduce water pressure.. until it’s time for a filter replacement) hope this helps. Best of luck.