So you do not want to save your settings (which BSPlayer does for you), but you want to transfer your present settings to another PC. In this connection please note that settings like video rendering and such cannot always be used unchanged and/or without problems on another PC, as that will e.g. depend on the hardware and software (e.g. drivers) on that other PC.
However, that being said:
depending on BS.Player's version and what you selected at its installation at your "old" PC, you should look for the following files
either in BS.Player's installation folder
or e.g. in C:\Documents and Settings\[YourName]\Application Data\BSplayer (Pro)
or in C:\Users\[YourName]\AppData\Roaming\BSplayer (Pro) :
BSplayer.xml (=keydefs etc.)
and further you could also look at
bspml.xml EQ.xml
and perhaps (probably not useful as e.g. the files of the playlists will not be found on the new PC)
bsplay.sav bsplay.bkf bsplist.bsl internal.bsl dvdxxxxxxxxxx.sav (in folder DVDdata) and further I'm not sure what to think about the files like bsp.dat and BSPMLIB.dat (in folder bslib) [I would personally first give it a try with only the first .xml-file(s)].
and copy the .xml-file(s) from your "old" PC to the new one (while BS.Player isn't active of course).
Let us know the results please.