Alternate side parking begins at 5 am every morning of the snow season, regardless of whether it snows or not. Therefore, you should plan to park or move your vehicle after 5 pm each day to the side of the road that will be permissible to park the following day.
Think of it this way: if it is 5 pm on November 11th, and you’re parked on the odd side of the street, you have 12 hours to move your vehicle.