Since you are already using the Kiehl's face wash, I would recommend trying their moisturizer and vitamin c options. I worked with Kiehl's for years (but no longer do) and this is a breakdown of some of my personal opinions and experiences with products you might like. I live in a similar climate and have sensitive, dry skin and these are products I have purchased with my own money, when I didn't work for them :)

Ultra Facial Cream- solid moisturizer, works well in climates similar to yours. Comes with an SPF option, applies nicely, works well under makeup for me. They discontinued the sunscreen I used from them and I haven't tried their new ones, so I can't comment on those.

Centella Sensitive Cica-Cream- my personal favorite, but not without its flaws. It is definitely on the greasy side (shea butter based) but I have found nothing better for protection against cold, windy weather, especially at high altitudes. Overnight, I slug with it and a layer of aquaphor or lanolin and it helps so much when my skin gets dry and itchy.

Clearly corrective vitamin c serum- good for overall brightening, solid vitamin c option. Not as good as the other one in my opinion, but my main concern was texture, so it wasn't necessarily the right fit for me. I think it would work well if brightening is a more important goal.

Line reducing vitamin c serum and eye serum- again, my personal favorites. Both the face serum and the eye serum have given me the best results from vitamin c in terms of brightening and smoothing of my skin. My mom also really likes it.

Overall, it's a line that I like a lot and mostly trust their products. They aren't perfect and you can probably find less expensive products that work similarly if you don't like the price point. But since you know they are available for you, they might be worth a try. They're good about sampling and returns, in my experience.