Group campsites serves as a good hiking base
This is a no frills National Forest campground with pit toilets and running water that offers several group sites. Some are large, open, and grassy (with nice sky views), while others are much more compact spaces. The group nature means it can be loud, particularly on weekends, but it was nearly empty when I visited in June 2019. Consider it as an alternative to roadside camping along Tripoli Rd.
This is a great base for the several of the 4000-footers (Tecumseh, Osceola, Tripyramid),, the Sandwich range, or more family friendly hikes such as the Welch Dickey loop. Waterville valley offers biking. And if you want ice cream after a long day on the trail, head to the Bear's Den in Campton.
Note that Tripoli Rd is closed during winter through mud season, until the road has dried out and necessary repairs have been made. It may not open until late May, so be sure to check the White Mountai. National Forest FB page and website for updates early in the season.