Dont put off the job, just use the Dawn. You better get used to the smell of SH if you are washing houses for a living. No big deal just get Dawn
Chris mentions mixing certain dish soaps could kill ya. Blue Dawn does have a nasty smell mixed with 12%, Green Apple Blossom doesnt have the same nasty smell. I think mostt dish soaps say dont mix with bleach but we still do. I DONT like the blue. Also in a pinch Simple Green will work and does cover the smell more
There are some real odor maskers out there Steve Rowlett used to sell a lemon scent that worked really well just an ounce or so and it worked well, little pricey
Dont put off a customers job, because YOU dont like the smell of bleach, thats just seems like bad biz
Good luck