How do you do your basic skincare during the changing seasons?

My skin has become very dry and rough lately due to the chilly weather.
My skin gets rough and dry whenever the seasons change.
I heard that basic skincare is really important during the change of seasons because the skin becomes sensitive and the barrier breaks down easily.
I have combination skin, but I suffer from severe internal dryness, so I'm always really worried about it.
My skin breaks out every time the seasons change, and I get a lot of breakouts.
That is why I heard that when the seasons change, you need to take care of both hydration and soothing at the same time.
I'm curious to hear your tips on how you handle basic skincare during the changing seasons.
Also, please recommend some effective basic skincare products for the changing seasons that you have tried.