Prague is one of Europe's more beautiful cities with it's well known Charles Bridge and Wenceslas Square. And great beer! It has excellent and good-value public transport.
I plan to spend 3 nights in Prague and then 2 nights in the much smaller Cesky Krumlov about 2 hours away by bus which Lonely Planet reckon is the Czeck Republic's only other world-class attraction.
Book your own flights and hotels and feel free to choose different arrival/departure days or just do Prague only.
I don't see myself as a tour leader organising every moment of the day but as a minimum we'll meet in a cafe each morning to exchange ideas for the day and in a pub and restaurant each night.