As others have said, main roads after clearing should be fine. It's mostly after snow or icy rain, for a day or three depending on what the weather is like, that you need to beware.

It all comes down to physics, slippery roads are going to teach you some hard lessons if you don't anticipate the physics.

Trying to pull out of a parking lot with a slushy entrance? You may push the pedal harder to try to get out before the light turns or oncoming traffic arrives, but the wheels, without proper traction, will spin and you'll go slowly, if at all. Good tires help, common sense is still important. Traction/friction is your friend.

Similarly if it's icy, you can press the brakes, but just because the tires stop rotating doesn't mean you'll slow down or stop moving forward. You have momentum proportional to the weight of your vehicle and the speed you're traveling. Give yourself a long path to slow down. (Or, as others said, best not to be out in the first place).

A heavy car with rear wheel drive on icy roads can also be a turning hazard, you can turn the wheels but the car just continues in the same direction. Not much of a problem in this day with front/awd/4 wheel drive and lighter vehicles.

Anyway, you get the idea. But avoid the icy days to drive, and if you must drive in bad conditions (only if you must), anticipate lack of traction and plan for it.