A backpack leaf blower will easily move a few inches of dry snow. Brooms will work too if you’re persistent.
Stack full bags of shavings inside the barn against any cracks that allow snow to drift in. I once came into a 6’ tall by 4’ long pile of snow Inside the barn, on both ends… It made getting in and out that much harder once it started to melt.
Clean dry bedding works on ice --sorta-- if you don’t have sand.
Bring all tools inside before the storm.
Fill up all vehicles with fuel and have whatever fuel you need for backup for the next few days in jugs.
Do you have hot water? If not, and if there’s power those plug-in tea pots are good for making hot water for use in grain. Unplug immediately after use.
To that end, add warm water to each horse’s regular grain ration the night before and morning of the storm. I’m not a big fan of giving a bran mash, but any way you can get extra hydration into them when the barometer starts going wonky is a bonus.
Totally agree on the toboggan type plastic sled. A manure bucket with twine will work too for a few flakes but obviously with the right angled edges, it’s not as easy to navigate as a sled.
Disconnect and drain all hoses. If you cannot bring hoses to a warm spot, drain them outside today and H.I.D.E. T.H.E.M! Someone will use them and either not disconnect them or will not drain them properly.
Clean muck tubs hold water, too 
A hairdryer (or heat gun if you’re connected to construction) will help thaw frost free hydrants that, well… aren’t.
A roof rake is not a bad thing to have either. Serious as a heart attack about this.
Close and latch all paddock gates. Be prepared to defrost those double ended snaps with your breath cupped into your hand. Or better yet, invest in some aluminum carabeeners. But a closed gate is easier to shovel out than one that’s swung all the way into or away from the paddock gate opening.
Be sure your blankets are waterproof. If not, have back up blankets to swap out. Horses will quickly become hypothermic if standing in wet blankets. Check the dressed ones often.
Too late now, but do all the shod horses have snowball pads? If not, some have had success with Pam cooking spray or vaseline painted on their soles to help delay snowball buildup.