diving
There are several diving schools in the region which will let you take your diving certificate just off the shore of Kullaberg.
hiking
Kullaberg has lots of scenic views and is very beautiful to walk around in. There are well-marked trails along the northern and southern shores, with a number of connecting trails across. The trails are fairly easy, although you should keep track of your children as the drops are significant at times. The Blue trail is significantly harder with a lot of ups and downs to hike, although it gives you some very beautiful viewpoints.
climbing
The climbing in Kullaberg is the most wellknown in Scania.Read about it here.
golfing
There is a golf course. Be careful not to hit the climbers.