Your hands have a hard enough time as it is. Give them a break by protecting them from unnecessary exposure to anything that will make things worse.
All you have to do is make wearing gloves part of your daily routine. Until you get into the habit, taking a couple of minutes to put on gloves before various activities might seem bothersome. You might find wearing them uncomfortable at first, but it's worth the time.
Wear gloves anytime you plan to use harsh cleaning products. There's no use being careful about the soap you use to wash your hands if you're also exposing your hands to household cleaners. Keep a couple of pairs of elbow-length rubber gloves around for heavy cleaning. Use an inexpensive pair of cotton gloves as a liner to prevent sweating and itching.
You can find inexpensive white, cotton gloves at most drugstores. You can also use them to cover your hands after you've moisturized them at night or after applying medication for absorption.
Keep disposable gloves like those used by medical professionals and food-service workers around the house also. If preparing onions, tomatoes or other strong or acid foods irritates your hands, the gloves can help.
Wear gloves when gardening or doing yard work to protect hands and nails.
In cold weather, wear gloves when you go outside. It's not just to keep your hands from feeling cold. The gloves will also keep them from drying or chapping in the wintry air.
Year-round, whenever you'll be out in the sun, protect your hands with the invisible shield of sunscreen. The backs of hands, especially, need protection with a sunscreen of at least SPF 15 every day. A moisturizer that includes a sunblock of SPF 15 will also work.