I'm not sure if my skin is sensitive these days or if my skincare routine just isn't working for me.

I'm a man in my late 30s, and taking care of my skin is surprisingly harder than it used to be.
I used to be fine even if I applied my skin carelessly, but lately, my face feels tight quickly after washing it, and by the afternoon, the area around my nose and cheeks starts getting shiny again. It feels like the surface is oily, but when I touch it, it feels dry underneath.

Areas with enlarged pores look particularly prominent, and spots where I used to have acne stand out even more on days when my skin condition is poor. Lately, I've been using a mild cleanser and focusing on moisturizing products to minimize irritation, but I'm not sure if this is the right direction.

Are there any others out there like me who have internal dryness and concerns about their pores?
I'm wondering if it's better to keep it simple with just toner and cream, or if exfoliating would be helpful in this case. I would appreciate it if you could feel free to share any skincare routines that worked well for you.