Blizzaks and other snow tires are for winter only. like the guys said, they will wear out fast in warm weather.
The Blizzaks uses a special soft spongy rubber for the outer tread. This is good for about 5,000 miles after that, you wear down to a harder compound which is ok for normal roads but has no winter advantage. Studded tires last about the same, usually failing because you get leaks from studs punching thru after the tread gets thin.
So you will either need a set of rims for winter tires and put normal tires on the rest of the year. The black plain wheels are about $25+ each if that is the route you go. Much handier than taking the tires off and on the rim with the seasons which is the cheaper at first option.
I prefer a good set of winter tires with studs if they are legal where you are. Then a good set of M+S(Mud and Snow) tires the rest of the year if you live where it is wet. Or summer tires if the roads are Ok most of the year.
I had Blizzaks on my SS when I lived in Oregon. They were OK but I didn't think they were as good as stud(On my SHO) on ice.
With careful driving you can get around just fine 90% of the time with M+S tires.
Size wise, most snow tires are narrower and higher profile(like 70 or 80) than the sporty tires our cars come with. In snow you want narrow widthto cut thru snow, with wide open tread patterns to throw the snow. Studs or special compound for ice. The dealer should be able to help you with size selection. If you buy a set of cheap rims your tire size is limited to the diameter that will fit in your wheel well and still be able to turn and take bumps. If you use your factory rims you are limited to whatever will fit on those plus or minus.
Many dealers will swap your snow tire and rim for free if you bought them there. Usually swapping tires on your factory rim will cost you.
Just my opinion.
Jim Henderson