Welcome trixienurse! I recognize you from the RW Forums (I'm BuffaloGuy over there).
I live just outside Buffalo, NY so I know what you mean about cold and snow. A lot depends on your preferences for warmth/cold. I tend to like things on the cool side, so keep that in mind when I'm talking about my strategy.
Anything over 40F, and I'm pretty much fine with a short-sleeve tech shirt and shorts. My hands are very sensitive to cold, so I also wear a pair of light gloves for the first few miles when it's 45F or below.
Below 40F, I start looking at long-sleeve tech shirts. I've had excellent success with a couple of UnderArmour Cold Gear compression shirts. I wore one for a long run this past Saturday at 39F and I was happy as can be. I'm still in shorts for the upper 30F range, but below 35F I'd be inclined towards a pair of light track pants or tights. I might also look at a light top as well. A hat wouldn't be out of line, either. Gloves for at least the first few miles, though I'm likely to keep them on the entire time.
Below 30F, I start looking at heavier track pants and a heavier jacket. Santa Wife brought me a couple of pieces of heavier UnderArmour separates, and those got me through the winter, down to -7F (including wind chill). The hat's a sure thing, as well as a pair of ear grips.
My bigger problem is trying to figure out how to keep my water bottle from freezing....
Don
"Don't fear moving slowly forward ... fear standing still" - Kathleen Harris
"Last is just the slowest winner." - C. Hunter Boyd