zvjerko,
The norm is to move the person who is due to post the big blind next, so in your example it would be moving the person who is due to post the BB for the hand being shuffled.
If you go to a table and they are playing a hand it is always the next person to take the BB who would be moved
If you were moving the person who was just BB during the last hand they would have to move to the best position available at the new table, whilst moving the next BB allows placement in the worst position on the new table.
TDA rule 6 attached below
6. Balancing Tables
In flop and mixed games when balancing tables, players will be moved from the big blind to the worst position, including taking a single big blind when available, even if that means the seat will have the big blind twice. Worst position is never the small blind. The table from which a player is moved will be as specified by a predetermined procedure. In stud-only games, players will be moved by position (the last seat to open up at the short table is the seat to be filled). Play will halt on any table that is three or more players short.
Best regards
Stuart