Nice ! Looks like you're all set for your vacation ?
There are direct flights and trains for this journey. Hyderabad (Andhra Pradesh) to kolkata (West Bengal) distance is 1459 km and you can get there by flight in just over 1 hour and 55 minutes or by train fares starting from ₹ 515.
The weather at kolkata is varying from "nice" to "hotter than nice".