I think there’s a missing detail.

Do you want to use different towels for the different parts of you even right after showering? Or only so that a different one for after shovering, another for your hands for when you just washed hands, and another for the face when you just washed your face?
I don’t think the former is normal, but the latter is. A different one for showring and just washing your hands is good to have I think, and if you have got oily skin then a third one for your face is also completely understandable.