We are traveling in Czech and Hungary this June. Landing in Prague with3 days there, waiting for our daughter to arrive, then traveling to Hungary to visit and to see cities that Grandparents came from, Relatives are from Eger and Bekolce. Another city (area?)is possibly Berteg Nega. Any recommendations on what to do outside of Prague but in that general area. Also any recommendation of must do things in Hungary outside of Budapest.