I’ve been using hair removal creams for a couple months now because I had the same problem as you. And I have really thick hair and really sensitive skin.
For some reason the only way that works really well for me is first gently exfoliating, patting yourself dry and then applying the cream. And after the time is up I use a wash cloth and some mild soap or shower gel to scrub the cream off and all the hairs come off easily.
It might not work for everyone because that’s normally not what you’re supposed to do. But honestly it works so well for me even tho I have extremely sensitive skin. And since you exfoliate beforehand and scrub afterwards it makes your skin so soft for a good couple days. Just make sure you avoid any cuts and irritated areas and moisturize well.