To add to the responses so far - since you said Kaaterskill Falls in your subject - yes, you can ice climb on Kaaterskill Falls, as well as the other flows in that general ravine. The lower drop of KF is perhaps the easiest thing in there, at grade 3 (typically). The main falls rarely comes in and is scary as hell even when it does (think crashing tons of ice inside a hollow and generally airy tube, with lousy screws the norm). Much more attractive are the grade 4 flows that spill from the rim of the ravine. These are all described in the guidebook ("Ice Climber's Guide to the Catskill Mountains" by Marty Molitoris). In general the K. Falls area gets much less climber traffic than The Black Chasm (formerly the Devil's Kitchen), Devil's Kitchen (formerly the Hell Hole...confused yet?), and Stoney Clove. But being in there at sunset in late Feb or early March is really a treat. Photo attached of the main falls.