Yes, for all non-emergencies, the boys have a bath before going to the vet.

When Max had his eye problems, he did not have his head washed for over 6 weeks. I combed his head thoroughly and used damp sterile gauze to clean his beard as much as possible.
Yorkie parents aren't the only ones who do this. At our vet, we ran into a woman who had a gorgeous cocker spaniel in full coat. She combed the dog's skirt before entering the office and then gave me the side-eye for Max's coat being a little tussled from holding him in my arms.