Um, from my experience getting a dog when people in your house do not like dogs is not a good idea. It will cause a lot of problems and possibly create tension. That person may always hold some resentment towards you or the dog (my dad got me a puppy when I was 5 against my mom's wishes and she was always grumpy about it; it took her 6 years to like the dog).
If they do not like dogs but are okay with you getting a dog I'd ask them what they would be okay with having around (do they not like that dogs smell, shed, drool, etc?). If you know what they don't like about dogs and what they could like about dogs then you might have a chance with getting a dog they'd be okay with.
Here's a quiz:
Dog Breed Quiz - Dog Breed Selector - Goodhousekeeping.com