When are you planning to do this? Depending on where you go, there is still some compacted ice on the trail on top of some peaks right now and it makes for v-e-r-y slow going... I went on a hike this past Saturday, with the intent on doing the Wittenberg-Cornell-Slide loop and couldn't cross over Cornell because the ice was so bad in this one particular spot. Crampons would have done it, but putting them on/off would have been a pain...
If you are going in May-June, then you will have lots of friends with you, very small friends, the biting type friends... and that can be truly annoying too.
Going for a couple of days is a good way to start though. Have fun!