Can you recommend any particular events or places which are worth visiting in Prague in the range of 20 March - 7 April for family trip?
What are the great sites to see available options, book tickets etc?
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There's an official Prague portal Prague Welcome. Both have a nice event calendar, so you should be able to pick something you like. There's definitely a lot to do. Prague's major sites are also listed on Prague Welcome. I also found another website Prague Experience that seems to have a nice calendar full of events. Since you'll be in Prague for Easter, I'd definitely check out Easter markets on Old Town Square and Wenceslas Square that are listed on Prague Experience. I hope you enjoy your stay!