How should I approach winter exfoliation and pore care?

As winter approaches, my skin has become much drier overall, and after washing my face, it feels tight and visibly flaky. However, along with the increased dead skin cells, the pores around my nose and cheeks have become more prominent, making me unsure how to best manage my skin.

Exfoliating temporarily improves skin texture, but the irritation makes pores look larger, so I'm hesitant to do it often. In this case, I'm curious about the best order and criteria for exfoliating and pore care during the winter.

I'd also like to know if direct exfoliation, like peeling or scrubbing, is necessary, or if it's better to naturally exfoliate with a moisturizing treatment. Also, if there are differences between home care and hospital care, and if recommended methods vary depending on skin type, explaining those criteria would be helpful to others.