At 4,003 ft. Mt. Tecumseh just barely makes the list and is the smallest of the official 48 4,000 peaks in NH. It's located in Waterville Valley, NH and the Waterville Valley Ski area is located on Mt. Tecumseh.
Unfortunately ski season was cut short in the spring of 2020 due to COVID-19 so that just left more time for hiking. We took the Kinsman Ridge Trail up Cannon. This was our first "winter" full snow hike. We needed micro spikes right from the base. The trail was very steep but the snow had been packed making it easy to climb with the spikes. Going up there trail there were several spots where we had great views of Echo Lake, Cathedral Ledge, Franconia Notch and Franconia Ridge..\
Diana's Baths was our very first NH hike when the kids were very young but we continue to go back because it's so much fun. The trail is primarily flat and only .6 miles ending at a series of waterfalls and pools along Lucy Brook. Bring swimsuits and towels because you won't be able to resist cooling off in the refreshing water on a hot summer day. When you reach Diana's baths there are several places where you can easily cross the river and continue to head up river for more falls and pools. The further up stream you go, the less crowded it can be. On a hot summer day it can be as busy as a beach on Cape Cod. The trail head is located in Bartlett just north of North Conway and parking at the trail head is $5.