.One trick I use when doing sight transposition is to read as if in another clef. Eg: Music is in Bb and you want it in C. Read Treble clef as Alto clef.
I think maybe you mean tenor clef. That's how I read Bb treble, as tenor with two more flats.
I do mean alto clef. I play Bb Clarinet and frequently need to read off a C score and play with a C instrument.