Let's plan to walk all the trails (Bickford, Summit, Walker and Incline [a well-named trail for a beginner]). That will require a little bit of duplicate walking. One of the links below is a map showing the 4 trails. I believe it takes an average of 1 h 25 min to complete the main loop, so maybe 2 hours of hiking plus ~ 30 minutes for lunch. 

Bring water/drinks, and a lunch and/or snacks if you wish. We'll stop at the summit to eat. You may want to bring some bug repellant in case ticks are active. You may also want to bring grips if you don't have hiking footwear with arctic grip.

We should return to the trailhead by ~ 2:30. The current weather forecast predicts a high temperature of 44-50F, sunny, 0% chance of rain, and winds of 13-15mph. You may want headgear for the summit.

Explore South Uncanoonuc via Summit Trail and Walker Trail | AllTrails

Make a day of it - The Uncanoonucs, Goffstown, NH - MAKE A DAY OF IT NEW ENGLAND

NHFH: South Uncanoonuc Mountain (nhfamilyhikes.com)

Trailhead is at the end of Mountain Base Road in Goffstown, NH. Take Wallace Road from a traffic circle on Rt. 114, 0.6 miles east of the southern junction of Rt. 13 and Rt. 144 and 3.2 miles west of Rt. 114A. Drive 1.5 miles down Wallace Road and turn right onto Mountain Base Road. Follow it 0.9 miles to its end at the lake and park at the small dirt parking area near the kiosk. We can all meet at the kiosk. Carpooling might be a good idea. A good spot for that is Market Basket 539 Donald Street in Bedford, where you can but last minute items before the hike. "Mountain Base Road" will work on Waze.