Most all-seasons will get you by OK, providing they're in good condition.
One caveat to that, is if the vehicle purchased came with "Summer Only" Tires.
In the following example, summer tires wouldn't have yielded this kind of traction:
I still miss those days, but how often can you do that in KC? Twice a year, if you're lucky. I still have the half-worn summer tires (Yokohama Advans) than I've been trying to give away, but they don't fit many rims!
RH77