i don't consider my dog dirty in all honesty. i wash my hands if im about to cook or something after i touch him, but i would do the same regardless if i touched him or not. I have never hosed my dog off after he uses the potty and i don't hose myself off after i go to the restroom either. I find that very unusual (no offense to you) just because no one here does that. I wash my hands constantly because of germs and i shower every day but i did that before i owned Luka.
The only change i've had to live with is the hair. I don't find it "dirty" but it does get on my nerves sometimes. We vacuum and dust a lot more than we used to abut that's really the only change. Also, sorry if this is gross but if i find a piece of hair in my drink or food, i pick it out and keep on going. It's my dog, i feel as though he is clean, probably a lot more clean than you think. Not to mention huskies are very hygenic and lick themselves clean all the time.
Not to mention, humans are pretty dirty as well. I can't tell you how many people don't even bother washing their hands after they use the restroom. Then they continue to touch doorknobs, doors, etc. and then you touch it and the germs spread. Just something to think about...