This unusually early for us to have a snowstorm. The snow will melt very fast. It is possible that by Tuesday, the snow will be gone, or close to gone.
Devil's Path might be tough. It will probably be wet and slimy. Becker's Hollow would be good. The road to Slide is closed, so forget about slide.
You should check out the Best 25 hikes in the Catskills:
http://www.catskillmountaineer.com/hiking-CMBH25.html
You might consider:
Twin Mtn (Devil's Patch - easiest mtn on the range) - Great views
North Mountain - Great views from the top
Wittenberg & Cornell - Difficult and great views - Cornell Crack is tough but fun
Hunter Mtn from Becker hollow is good too. Fire Tower is fun
Kaaterskill Falls - 1 mile trip - nice near the end of the day. Water should be flowing good next week.
Plattekill Falls - 1/2 mile trip - can see after Twin - Be VERY careful below Plattekill Falls, if you wonder down from the falls. Very dangerous below there.
Poet's Ledge is great on a very clear day - Need to get to Poet's Ledge by late morning.
Anywhere on the Escarpment Trail is great - I think you can now drive into the campground for free. You can also do the loop.
Don't worry about the snow. Lots of good hikes. We hike every weekend in the Winter.