pafisher
That Jeep Cherokee in 4 WD should get you around fine with all weather tires,I had one of those for years and it took me everywhere.However,don't go crazy and get in too deep because when your floating on the snow it does n't matter what rubber you're riding on.
I live here year round and a decent set of all season tires AND 4wd is all you need. In fact I got around (and tons of folks still do) for years on an all season tires and FWD. Like Charlie said Studded snows are a plus and I physically do not know of anyone around here that carries chains, but they could come in handy I guess, I would go with the cable type
http://www.ebay.com/itm/Laclede-Cable-Tire-Snow-Chains-stock-1014-Never-Used-/251373056150?pt=Motors_Car_Truck_Parts_Accessories&hash=item3a87007096&vxp=mtrHere is what you have to remember.
DRIVE SLOW most cars and trucks can get decent traction going they just cannot stop. Especially with 4x4 many people get a false sense of security and go to fast. Hit the brakes and in the ditch you go.
It's usually not the snow on the road usually it's all about visability. During a lake effect storm you usually have more trouble with seeing than the actually driving through the snow.
LOW BEAMS at night in the snow/ fog lights. High beams reflect.
Slush pulls. A hard snow and then the sun comes out a bit and makes slush and that $hit can pull you.
Even in 4x4 you can get stuck. If the snow looks to high in the lot it probably is.
Seriously though There usually is only 1 or 2 times a year that I have a tough time of it and then it is again DRIVE SLOW. The plows do a great job of keeping the roads clean.
Lake effect is weird 2 feet here and 2 inches 10 miles away. I have driven with snow plowing over the top of my hood and literally with my brother walking beside me with the window open so he could see the bank on the side of the road (yea could not see 5 feet). These monsters are happening less and less though. Don't sweat it. Come up watch the weather the night before and go for it. Better yet check our weather thread, that's why it is there.