Am I going to be warm enough skiing in Hakuba

Just getting a little nervous about my wife and I being warm enough in Hakuba, in Jan.
We have thermals ski jacket and pants and helmet, wife shopping In Tokyo for hers, Not sure how much other clothes I will need on?Any suggestions?
Thinking more about while out skiing, the bars wont be a problem. Im sure it depends on the day, but it seems pretty dam chilly..ha
Also Goggles, wife and I wears glasses, I can do without while skiing, just cant read anything, any suggestions, and whats a fair price to pay, we only ski at best once a year,

Any tips thankfully received.