Cherry -
Obviously you wouldn't want to do any of these things with the processor (tiny hearing aid) attached to your head - you'd fry the battery and ruin it.
However, shampooing - and using cream rinse - with a BAHA implant is no big deal Hair spray and other hair products, gel, etc., aren't an issue either. I think I was told that you just have to clean off the abutment with a baby wipe or something similar before you attach the processor. Or you could put the cap on the abutment, to keep it clean, until you're done styling your hair. You get one that matches the color of the processor.
I don't use hair products, nor do I blow dry my hair, but I'm sure someone else who does can tell you about that.
My hair hasn't ever gotten tangled around my abutment, but someone (I think it was Sam Rush) cautioned me about letting curly hair get wrapped around it. I guess that's not a wise idea.
Jan