Not only the Lucerne has a lot to offer, also the Zug area is very attractive. Here a proposition of a wunderfull excursion to the Hochybrig area:
Take a bus no. 1 from Zug to Oberägeri. There you change on bus no. 9 to Sattel Gondelbahn. From here you take the gondola up to Hochstuckli.
Hochstuckli in winter is a ski area. From spring to fall there are a few nice trails to wander with great views. I would propose you take the path which starts right side of the gondola station and find the many fairytail figures while wandering through the forrest.
Alternatively you can cross the new suspension bridge - sattel-hochstuckli.ch/en/…Haengebruecke.php - or play on the playground - sattel-hochstuckli.ch/en/…Huepfburganlage.php - or enjoy the toboggian run - sattel-hochstuckli.ch/en/…Rodelbahn.php -.
Hochstuckli means fun for the whole family.