It's far easier to just go unscented or lightly scented unless you have a gift set of something and it includes soap/shower gel/shampoo/deodorant etc If you have money to squander and burn by all means go ahead and pay 20, 30, 40, 50+, bucks for deodorants and shower gels that won't last any longer or work any better than 5 dollar stuff if you so desire, the very thought of 50 dollar plus deodorant sticks makes me cringe however. I tend to use "fresh" stuff like Axe Shock or Adidas Extra Fresh for "summery" light scents and stuff like Dark Temptation or Chandrika or Bee and Flower Sandalwood for the heavier deeper wintry scents - as others have said, it's not really that important because the scent of shower gels especially generally doesn't last long and a 5 dollar unscented deodorant does what it's supposed to do just as well as a 60, 80 dollar Creed one does, but IF you are filthy rich, what does it matter?
I use Certain Dri deodorant, which is totally unscented and also basically shuts down your armpit's sweat glands.
My pits literally don't sweat AT ALL when I'm using this stuff, it's pretty awesome.
There are a few vitamin stores out there sell unscented shampoo, but good luck finding any at a store in person.
I ended up buying some online.