For the Catskills. Contact Adirondack Trailways/Pine Hill Trailways, www.trailwaysny.com, 800.858.8555. Many trailheads require a long roadwalk, but backpacking opportunities abound. See the Trail Conference's Catskill Trails maps and the Guide to Catskill Trails. Central Catskills, Balsam, Eagle, Big Indian Range, Belleayre Mountain, etc.; Northeast Catskills, Blackhead Range, Hunter Mountain, Devil's Path.
For the Western Catskills (Delaware County), Trout Pond, Little Pond - use Short Line at 212.736.4700.
For the Kittatinnies. See Kittatinny Trails map set & Appalachian Trail Guide NY/NJ. Some backpacking opportunities. Bus services: Delaware Water Gap, call Martz Trailways 800.233.8604. Blairstown, call Real Transit 973.627.6488.