Directional tires are ideal for hard surfaces in good weather conditions. The best tires for driving in snow are snow tires.
Most 'All Season' or 'M&S' tires are good for all weather, but NOT as good as dedicated snow tires in snow and also noisy on dry roads.
Snow tires cost slightly more than all weather tires. The actual cost of the snow tires would depend on the brand, style and size.
All weather tires are not required by law but it is a very important idea if you plan to drive through snow. I would also recommend Snow Chains if your in a large snow area.
Cooper
Both Winter and Snow tires have a more aggressive tread pattern and are made of a softer rubber that grips better in cold weather. I believe that snow tires have a still more aggressive tread pattern than winter tires.
Magna Grip Snow tires are made by Kelly Tires, which is a Goodyear brand.
SEARS
Snow tires are special because, they have special rubber on them called tread rubber that helps cars get through snow.
While all-season tires are popular and marketed to be able to handle all weather, when tested they fare less well than snow tires. So the best tires for winter are still those designed as snow tires.
studded snow tires with some weight in the trunk will do the job.
Bridgestone Blizzak Tires are amazing tires for any sort of severe weather driving.