We are planning to stay in Radstadt for a week ( because we have an otherwise useless timeshare) during our vacation to Europe (Late June). We see that there is a train to/from Salzburg (about 90 mins) but we are wondering if we will be better off for sightseeing from our Radstadt base to have a car? We want to go for a day to Hallstatt and also another day to "The eagles nest" at Berchtesgarden. We don't mind using public transport but don't wish to use up all out time trying to get around. You may have other suggestions for what we could see as well. We also assume that there is a supermarket in Radstadt. Thanks in advance.