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It's possible that your skin's sensitivity is caused by an allergy or similar concern, which can be treated or managed with lifestyle changes.  If the skin on your face or lips is chronically itchy, dry (especially in patches), or red and inflamed, it's possible that environmental allergens (pets, dust, ragweed, etc.) might be to blame. Typically, an allergic reaction won't be localized to your face, so itchy skin on your hands, arms, knees, or other areas might be an indication of an allergy. Some food allergies, like a gluten or milk allergies, can cause reactions in the skin. Even nut allergies can manifest as hives, itchy skin, or redness around the mouth. An allergist (a doctor specializing in allergies) can help you determine if your sensitive skin is caused by environmental or food allergies by giving you skin-prick or patch test. It's possible that your skin's sensitivity is caused by an allergy or sensitivity to the products that you use on your face or around your home, which can be managed by switching products.  If you have itchy, red, uncomfortable, or inflamed skin on your face or lips, it's possible that you have an allergy or sensitivity to a product that you use. Consider whether your face wash, scrub, toner, sunscreen, moisturizer, cosmetics, lip balm, or any other product that comes into contact with your face might be causing a reaction. You can try eliminating products individually for about a week each, in order to see if you have any improvement of your symptoms. You might also have an allergy or sensitivity to products that you use, such as your laundry detergent, or a perfume or hand lotion that might come in contact with your face. There is also the possibility that a partner's products (cosmetics or after shave, for instance) might be causing a reaction on your skin. It has been observed that children with sensitive skin or atopic dermatitis may be prone to food allergies. You may want to have a skin prick test to see if food allergies are causing your dermatitis or sensitive skin. Most people who say they have sensitive skin never see a dermatologist. If that describes you, it is possible that you are living with a skin condition that is treatable.  Some issues that seem like mere skin sensitivity are actually eczema, psoriasis, rosacea, or other skin issues. Each of these skin conditions has its own root cause and treatment plan.  If you've never been to a dermatologist, it's a good idea to visit one to rule out other skin conditions. If you do find out you have a skin condition, the dermatologist can prescribe creams or oral medications to treat it. Eczema or atopic dermatitis can be treated a number of way including creams to affect the immune system, antibiotics to prevent infection, antihistamine to stop itching, and stress modifications.
Determine if your skin's sensitivity has environmental causes. Determine if you are allergic to your products. Determine if you have other dermatological issues.