I'm the same way, my dog follows me everywhere! I feel like the best thing I do is keep the fan going all the time and have some sort of air freshener next to me at all times so I can't easily pick up those little smells.
This is how I was too I’m currently about to be 11 weeks I can tell you it starts to go down. I also felt so terrible about it because my dog follows me everywhere too and I felt so guilty about being nauseous from her scent. But it goes away :)
My dog comes in smelling like the outside, too.. he also has hair, not fur, so any scent will stick to him. If it is really bad, I have a dog perfume spray.. it's really strong, though, so I spray it on a paper towel and then rub the paper towel on him. But honestly, I could also just lotion my hands and pet him because, like I said, all scents stick to him