How do you manage redness on extremely dry skin?

I have extremely dry skin that battles dryness all year round. As the cool breeze starts to blow, my skin is the first to react. Even after applying moisturizer three times after washing my face, the inner tightness is not resolved, and My skin even stings and itches. My biggest stress is that white dead skin cells flake off around my nose and mouth, so when I apply makeup, it looks cakey and messy.

On top of that, perhaps due to dryness, my facial flushing has worsened, causing my face to easily turn red even with the slightest temperature change. Every time I look in the mirror and see my red, flaky skin, all I can do is sigh, It keeps bothering me, and it's interfering with my daily life.

In this case, should I visit a dermatologist to get a treatment that thoroughly exfoliates the skin and deeply replenishes moisture? If you happen to be struggling with extremely dry skin compounded by redness like me and have seen results with any skin boosters or skincare routines, please let me know. I really, really want this!