Yes breakfast is included in the trip at the hotels each morning.
In both Budapest and Prague you have scenic river cruises (w/included drink) included in the trip, as well as two walking tours in each city (so 6 walking tours in total). And in Krakow you have the day trip/tour to Auschwitz-Birkenau included.
Museum entrances aren't included but those also aren't part of any tours so if you want to visit any museums you can of course do that during your free time (which you have quite a bit of). The most popular extra cost activities would be a tour of the parliament building in Budapest or the House of Terror museum in Budapest (about the communist era years in Hungary), a beer tour in Prague or a classical music concert, and then in Krakow the Wieliczka Salt Mines and/or a Polish Vodka evening of food and drink sampling.
In each country they have their own currency (Hungary uses the Forint, Czechia uses the Koruna and Poland uses the Zloty). We recommend just taking money out at cash machine as you go. And most places in each country take card so it's possible you would hardly need any cash at all if you don't want.
In Budapest we typically use hotels like Ibis Budapest City, Ibis Styles Budapest, Hotel Mika Downtown, etc. In Prague we typically use hotels like Ibis Praha Wenceslas Square, Hotel Anokra, Hotel Brixen, etc. In Krakow we typically use hotels like Ibis Krakow Stare Miasto, Hotel Mikolaj, Hotel Wyspianski, etc. It generally depends on when you book as we then need to double check availability. All hotels are very centrally located in each city's tourist center and walkable to all the major sights, in good areas for food and drink, and all in the 3-star category. It is possible to upgrade to a 4-star or even 5-star if interested.
Day 1 - Budapest
Arrival on your own to Budapest and check in to accommodations in the heart of the historic city center. On your first night you'll take a scenic 1 hour boat cruise along Budapest's historic Danube River to see the city's most impressive architecture as the sun sets on this beautiful city. Free evening in Budapest.
Day 2 - Budapest
Breakfast included. Following breakfast you'll have a professionally guided walking tour of Budapest at 10am. Tour will include stops such as St. Stephen's Basilica, Elisabeth Square, Archduke Joseph Square, the Chain Bridge & Danube Promenade, the Shoe Memorial and eventually to the seat of the Hungarian Parliament and the imposing parliament building (Europe's 2nd largest!). Following some free time for lunch you'll meet the guide again for a journey across the Danube River to the Buda side of the city and Buda Hill. Here you will learn the history, stories, and enjoy amazing views, at sights like Fisherman's Bastion & Matthias Church eventually ending at the Royal Castle & National Gallery. Along this walk you'll also see the oldest residential street of the town, the Jewish District of Buda with the oldest active synagogue of Hungary. Free evening in Budapest.
Day 3 - Budapest
Breakfast included. Free day and evening to do as you please. A popular option on this free day is the famous Szechenyi or Gellert thermal baths for relaxation in the thermal pools & saunas, and even an optional "Beer Spa" or massages. Free evening in Budapest.
Day 4 - Budapest to Prague
Breakfast included. Morning departure for Prague, travelling from Hungary through the western corner of Slovakia (passing Bratislava along the way), and into the Czech Republic (Czechia) with an afternoon arrival to Prague (approx. travel time 7 hours). After checking into city center accommodations, you'll have a free late afternoon followed by an included 1 hour scenic boat cruise along Prague's Vltava River at approx. 6pm. Free evening in Prague
Day 5 - Prague
Breakfast included. Following breakfast you'll meet the guide for a walking tour of Prague's incredible Old Town and Jewish Quarter. Passing through Gothic and Art Nouveau architecture, you'll see highlights such as the Old Town Square & Astronomical Clock, the Tyn Church, Cubist House of the Black Madonna, the Filharmonic, Rudolfinum, the Jewish Quarter & it's Old-New Synagogue and more. Free rest of afternoon and evening in Prague.
Day 6 - Prague
Breakfast included. Following breakfast you'll meet the guide to cross the Charles Bridge to the Mala Strana side of the city (the "lesser district"), to the John Lennon Wall, St. Nicholas Church and up to the largest castle complex in the world, the stunning (and massive) Prague Castle & St. Vitus Cathedral, ending with a stunning view point over the city. Free rest of day & evening in Prague.
Day 7 - Prague to Krakow
Breakfast provided, check out and early morning departure to Krakow (travel time approx. 6.5 hours), crossing through the Czech Republic (Czechia) and into south western Poland (Malopolska) before reaching Krakow in the late afternoon. Check in to accommodations in the city center with a free evening in Krakow.
Day 8 - Krakow & Auschwitz
Breakfast provided, followed by an early morning transfer to see the sobering Auschwitz-Berkinau concentration camps (film and guided tour included) - Auschwitz-Birkenau is the infamous Nazi concentration camp that became the world's worst spot of genocide with the extermination of 1.5 million people: Jews, Poles, Gypsies, prisoners of war and many others were murdered in this camp. Late afternoon arrival back to Krakow and free evening in Krakow.
Day 9 - Krakow
Breakfast provided, followed by a walking tour of Krakow's historic center including the Rynek Glowny main square market, St. Mary's basilica & the story of the famous trumpeters who watch over the city, Jagiellonian University (where the astronomer Nicolaus Copernicus and the late Pope John Paul II used to study), and ending at the Poland's most sacred spot, the Wawel Castle where all royalty are buried. After a break for lunch you'll meet the guide again for a tour of Krakow's Jewish Quarter, known as Kazimierz. On this portion of the tour you'll visit the Jewish Ghetto and where Steven Spielberg's iconic film, Schindler's List was filmed, you'll see Poland's oldest Synagogue, the Jewish Cemetery, the Holocaust Memorial and more. Free evening in Krakow
Day 10 - Krakow
Breakfast included. Free day and departure on your own (if you have a later departure you can leave your bags with reception).
This is an independent trip ideal for groups of friends, family, couples, or even for an independent-minded solo traveler. It is designed as a travel & destination package, not solely as a "group trip". You will be on group tours/activities with other travelers and in a room with other travelers if you book the "shared dorm hostel" package (if you book the "private" room package then you of course will be in your own private room). You will however, have independent time between the guided group tours/activities to explore on your own and do as you please, and will receive a detailed info packet by email with numerous recommendations for additional group activities or tours (beyond what is included), sights/museums and food/drink/nightlife info, etc. It's a great balance between guided & included tours/activities and free time so that you have plenty of time on your own to do what you want.