Every time I've removed my skin, it has been most unpleasant.

I've also been wearing gloves out places just so that my hands don't get too dry from using so much hand sanitizer/washing. Washing or sanitizing the gloves doesn't dry out my skin which is nice.

...so don't touch your face with it.

gloves have a pretty strong effect in preventing you from touching your face, when you remove the face mask because you get into a car.

Your skin does not.

You should probably be hand sanitizing when you're getting in the car - if you keep the gloves on you're just smearing whatever you picked up at the store all over your car doors, keys, and steering wheel, as well as the strings of your mask. Assuming you use the car gloved in the next day or so, it's now on your hands as well.