It depends on your age and skin condition, but from what you shared, medical grade care is totally unnecessary unless you have an event coming up or are otherwise impatient for gentle skin improvement. Your best bet is to add a sunscreen to your regimen first. Then include a light moisturizer that suits your dry skin best (move to thicker creamy ones if necessary, or only use a cream at night). Ingredients should include a humectant, skin identical compound, barrier restoring agent, and (for some people) an occlusive. Check out the last section of this article for the list of ingredients you should look for: https://thenakedchemist.com/clear-skin-difference-it-begins-with-hydration/ If you want an active for dullness, then research supports a vitamin C serum to use at night and you may rotate it with an exfoliant (lactic acid or salicylic acid).
Avoid products that do not list ingredients and the package is not airtight. Just because it comes from a spa or clinic doesn't mean it's not harmful. CosDNA will tell you if it's a safe formulation for prolonged use. Products without preservatives should be avoided entirely unless you have the money to use it up in a few weeks and buy another fresh batch. Lastly, don't forget to treat your neck and hands to the same care.
AM: gentle cleanser, moisturizer, sunscreen
PM: gentle cleanser, vitamin C serum (on alternate days use exfoliant), moisturizer (or cream)
Using safe ingredients means being patient. Skin restoration can take up to a couple of months, but you should start seeing changes in a few weeks or less.