What is your cleansing (and toning if you do that) routine? Foaming cleansers, hot water, scrubs and alcohol-based toners can all strip oil and moisture from your skin. Perhaps try using a cleansing oil or balm instead.
Something else that has helped my dry skin is changing my shampoo and conditioner to ones without detergents/ sulphates. That on its own has made a big difference to my skin. I realised that when I washed my hair I was effectively also washing my face with a harsh soap, when the shampoo ran off my hair and over my face (and the rest of me). No detergent does mean no silicones in hair products (because mild shampoo won’t wash them out) but my hair is softer and shinier for the change anyway.
In case it helps, here is my routine. My skin is (was!) dry, easily becomes dehydrated, and prone to sensitivity.
Evening:
If I have makeup to take off I double-cleanse using micellar water first - maybe a couple of times a week
Cleanse with rosehip oil, massaging plenty it into my face and neck then gently removing it with a warm, damp flannel cloth
Smooth a few drops of the same oil over my clean face
(Rosehip oil contains vitamins E, C, D and beta-carotene, so I don’t generally apply a separate serum).
Morning:
Wash face under the shower, turning the water down from hot to warm-ish while I wash my face and hair.
Gently pat dry with a soft towel
Moisturise (at the moment I’m using Dr Hauschka Rose Day Cream)
Sunscreen
Leave to sink in, then apply makeup if I’m going to wear some that day.
Different things work for different people though – some people are sensitive to rosehip oil, while I can’t use the coconut oil recommended above because it gives me clogged pores and, eventually, spots.