Where I learned, it was all left hand circuits. One day my instructor told me that we'd be doing glide approaches from the dead side. Ok, thinks I. He'll let me do one power-on circuit so I can get the right hand circuit sorted and then we'll worry about glides. Nup! Half way down the dead side, off goes the engine, and Gnomey has to turn the 'wrong' way with the 'wrong' picture of the strip in my head and plant it on the piano keys with no power. Guess what? It seems that good ol' CFI had a better understanding of what I was capable of than I did. I'm pretty sure that yours will too.
Oh, and be very careful about mental reference points. Consciously try to choose things that are not specific to your home airport. For instance, if you turn base above some particular landmark, then that landmark won't be there when you go to another airstrip. Instead, get a picture in your mind of how far you are from the strip when you're on down wind (because that will always look the same anywhere), and then turn at some point relative to the end of the strip (eg when you cross a line drawn at 45deg from the end of the strip, or something like that).