[Routine Help] Started using night cream a few days ago and today when I was moisturizing there were a lot of flakes of dead skin sitting on top of my skin. Is this normal, and how should I deal with it?

Beauty Tips For Body Care
I started using the Olay Night Cream recommended on the exfoliater page. This morning when I woke up and tried to put my moisturizer on, I found a lot of dead skin cells coming off on my hands. My face felt okay, though, it wasn't dry or tight or red or itchy. Is this normal?? I've only ever used physical exfoliates before.Also, does this mean I should start cleansing in the morning? I've been cleansing at night only because I have dry, sensitive skin. Or is there a better way to get the dead skin off in the morning?
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Submitted by lipglosschaos