Most band music is written in the proper key for the instrument so that when everyone plays together, you are all playing appropriate pitches.
As far as transposition is concerned, it depends on the interval between the key of the piece and B flat. If the piece is written in C, the B flat trumpet plays in D. A C trumpet doesn’t have to transpose at all. If the piece is in D, the trumpet plays E, E = F#, F = G, etc, etc.
As a beginner, though, you shouldn’t have to transpose much. That’s a more advanced skill. Like I said, almost all band pieces are written in the proper key for the instrument. At least, they are in the US. Are you in another country?
It occurs to me that you are talking about warmup scales, where the band director calls out the scale. Then just make yourself a cheat sheet showing what each scale for C instruments becomes when played on a B flat instrument. If you can do it in your head, then whatever scale he calls out, you play it one step higher.