All season tyres are a bit hit and miss in the snow anything more than a few mm and you may find them rubbish, you would be much better off having a set of "winter tyres" they are much much better in bad conditions. Just get a set of steel rims with them on and chuck them on for the cold months of the year.
When it snows here the amount of people with "all seasons" who end up in the ditch is staggering, but then most of them drive like bell ends in crap weather. For someone not skilled in winter driving, then winter tyres would be a must IMO.