Welcome! Please post some pics--we love the puppy photos here! 
Others already said exactly what I was going to--make sure you have your pup on a good food, maybe run a humidifier, and supplement with Derm Caps. If those things don't help, or if the scratching is to the point that it is causing any bleeding or really raw spots, go to the vet for some advice.
As for food--a lot of the time the itching seems to be caused by food allergies, so I would pick a good food with only a few ingredients. Then, if it's an allergy, you will easily be able to do an elimination diet. Some foods I would recommend are California Natural and Solid Gold.
I had a shiba that had a lot of itching when she came to us. She had been on a store bought food (Purina or Iams, I can't remember). I switched her to Wellness (another good brand) and she was better within a month or two.
Good luck and keep us posted!
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Amanda's Pack: Greg the Husband, Kate the daughter, Liam the son, Brewster the Shiba Inu, Cassie the Torbie & Fenway the Leopard Gecko!