Zakopane district is considered the most attractive tourist region in Poland. The Tatras, the hills of Podhale as well as the town itself are ideal places for walks or longer or shorter hikes. A walk around the town can be combined with visiting its monuments and other interesting places.
To central street of city - Krupówki, you will go in about 20 minutes.
Zakopane is a paradise for skiers, you will find there ski lifts for beginner and advanced.
In the Tatras you can also do some winter hiking. However, it requires high tourist qualifications, good equipment (clothes, boots, alpenstock and crampons) and good skills in using them. You should take your first steps under supervision of some qualified Tatra guides.