Travel time: 1 hour 30 min by car from NYC
A place for hiking, biking, fishing and swimming in the warmer months, Bear Mountain State Park is also a prime spot for cross-country skiing and ice-skating in wintertime. Bear Mountain Nordic Ski Association hosts youth ski lessons (Nordic) for kids ages 3–12 that'll get your tykes and tweens up and skiing in no time (BYO equipment). Bear Mountain, NY (parks.ny.gov).
*Port Authority also offers day trips to Bear Mountain that'll run you $14.35–$28.70 per person.