There are hair dryers in all rooms. Take several thin layers that you can easily add or take off, rather than relying on one or two thick layers. Wool is very good at keeping you warm, one large pair of woolly socks is better than several thin synthetic pairs, for example. Take goggles and hand/toe warmers as it can be very cold. If you are out on organised activities then the centre provides most of the kit that you need; snow suits, hats, socks, mittens etc, just make sure that you take your own good quality base layers and a coat, hat and gloves for the airport transfer. Jogging bottoms are also very good for wearing over base layers and under the snowsuits.
If you're away for several nights on the husky trip, then there won't be electricity, so take spare batteries if you are keen to get lots of photographs, and remember to keep them somewhere warm when you aren't using them; they drain very quickly! Don't bother taking baby wipes as they will freeze solid, you can wash in the sauna if you're out on the overnight trips with the huskies/snowmobiles.
Have fun, it's an amazing place!