Several walks can be done starting from the house :
You can rent horses at the village of "Le Tholy"
At A Gérardmer, you will be able to swim, row or sail on the lake. A swimming pool, a skating track and climbing walls (inside and outside) are waiting for you.
During winter, skiing in all its forms will surely tempt you near Gérardmer.
As a hint, here are the distances to the different activities and facilities, according to "les Gîtes de France" :
Downhill ski tracks 14 km Cross-country ski tracks 14 km Lake, sailing 12 km Fishing 1 km Swimming-pool 10 km Tennis 3 km Horses 3 km Forest 1 km Pedestrian tracks 1 km Thermal spa 29 km