The regulars on the province of Québec forums are not so keen about driving around the province in winter without serious experience in this kind of driving conditions.
Being from New-York I cannot really rate your driving in our climate but I must warn you that you will need extra cautions. Even in good weather the dreadful black ice phenomenon can occur and good weather can be something very flimsy. For example even if the weather in Mtl is perfect, on the road to Qc you could hit sudden blizzards.
RescueTeam has a great and lenghty posting about winter driving, if the link is not given very soon you could always send a personal message to request it.