The time to have bought those winter tires was in the spring, when they were closeouts.
If you really want a set of dedicated winters, look around at the many tire sellers on the net, and see whether anyone has something close to the section width you need in your diameter on closeout.
A narrower tire is better in the snow, incidentally, and rims for old Corollas grow on junkyard trees.
Now, winter here is a tad more severe than it is in DC, and here I find all season tires just fine.
Even the van is fine on Mich Harmony tires, while the rest ride on various all season tires.
What I'm saying is that for conditions in the DC area, good all season tires should be fine.
Have you had much experience with snow/ice conditions?
If not, be very careful until you have a good feel for the behavior of the car in treacherous conditions.