Try the HC cream, used sparingly twice a day on the areas affecting you. OTC HC cream doesn't have a whole lot of effect, so if the itch keeps up you may need to get some prescription strength steroid cream (Higher % HC or probably betaderm). Keep using the moisturizing cream, you can use as much as you want, just space it out by about 30 minutes before and after the HC cream. You can try some other stuff at home like a warm wet compress on the area.
As for other options, the cold can exacerbate the dermatitis. So wear gloves when possible. Also, so can constantly washing your hands, wetting on the area can aggravate it.
Also, people saying to use Selson Blue, do not listen to them. Seborrheic dermatitis is NOT the same as atopic/contact dermatitis.
Edit: Noticed the comments about the gloves too. If it's a contact allergy to the material, use different gloves. It could also be due to the length of time you are wearing the gloves, due to increased moisture build up. Every so often, take the gloves off for a bit, air them out and put a new pair on.