Hello! We will be travelling to Hungary via the Czech Republic in August, with our daughters ages 10 & 16. We will be in Hungary 12 days total, and plan to spend about half that time in and around Budapest (day trips etc).
We would like to make 2-3 two night side trips outside of Budapest and are considering Gyor, Sopron, Eger, Pecs, and the Tihany Peninsula of Lake Balaton. We are travelling by train, so we also have to consider an efficient route. We enjoy culture, history, and architecture, as well as hiking/biking, nature activities, food and wine. I really appreciate any advice/suggestions, including any not mentioned above!