The crossings going up Old Speck aren't bad in terms of deep/fast water but there may be some slick parts. At the beginning of the hike (about 0.1 mile in) you are presented with a fork. GO LEFT! The right-hand one is much steeper and has more icy ledge. Here in Bethel we have crust on the ground but it's possible, probable even, that up in Grafton Notch they got more snow and less rain. The trail might not be bad. Once you are on top of the Eyebrow Cliff you meet back up with the trail you didn't take down below. From this point to the summit I really don't remember any very steep or dicey areas.
If you decide to bail on Speck and go for Table Rock you are again faced with a fork early on. Again, you'll probably want to go left. The right-hand branch passes over boulders that could be tricky when icy, although that trail was recently rebuilt and is much better than it used to be.
-vegematic