I have climbed many of the 4,000+ foot hikes in the state, and have climbed and skied Tuckerman's ravine in my younger days (peak of Mt. Washington 6,300+ feet). These days I am looking for less strain but all the reward. From South to North here are my recomended easy hikes (anyone young or not so young can do these: strolls through the woods).
#1 Rattle Snake Mountain Holderness Route 113.

With views of Squam lake, and well built trails
it not hard to get there and the sights across the lake
are incredible. Bring a lunch and carry out your stuff.
#2 Indian Head at the Flume state park, Lincoln Rte 3

Indian head is a short hike from the Flume parking lot
but while you are at the Flume, you should take some time
to see the gorge, waterfalls and covered bridge.
#3 Artist Bluff Franconia Notch, across from Cannon Mt.

Echo Lake and Cannon Mountain Ski Area views that
change with the season, but the hike is only 1/2 an hour.
The view to the east are of Lafayette , Mt. Lincoln & Mt.Liberty
The Peak of Mt. Lafayette & the Appalachian Trail
are for more serious hikers. I have done this ridge
but not for many years. I think I'll stick to the easy ones.
Lincoln New Hampshire ; Real Estate consultant
Steve Loynd / steve@alpinelakes.com
What great views the hike would be good for you and you get tremendous views of nature.