Easy on the throttle and easy on the brakes. Brake early not just for yourself but to slow down the people behind you who aren't paying attention and aren't driving carefully.
I personally have not had a conti tire that i liked. Driving or riding, I just don't like their tires. I know lots of people do but I don't. I currently have a set of their Extreme WinterContact tires on and they do fine in "snow" but are terrible otherwise. Rain, dry pavement, normal cold but not snowy winter conditions they are a bit sketchy. 4+"? No problem.