You can go in BSplayer preferences (CTRL+P -> Frame and thumbnail capture -> Capture file name format)
and use a combination of the following options:
%F - File name (mymovie)
%E - File extension (.avi)
%T - Movie Time (hh-mm-ss)
%FR - Movie Time in frames
%TS - System time
%DD - Date day
%DM - Date month
%DY - Date year
%A0 - Auto number, with no leading zeros
%A1 - Auto number, with 1 leading zero (01,02,03...)
%A2 - Auto number, with 2 leading zeros (001,002,003...)
%A3
%A4
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