As requested! Shown below are things we used and were super happy with!
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Kids Balaclavas (inexpensive 3 pack)
Eddie Bauer + Land’s End
Kids Base Layers (Land’s End Thermaskin – they run big!)
Darn Tough Cushion Ski Socks (Women’s)
Smith Goggles (relatively inexpensive for goggles)
Outdoor Research Phosphor Mitts (I was terrified of having cold hands – these + liners + hand warmers worked very well)