All sighthounds need different protocols regarding anesthesia, not just Basenjis. So, I would just ask about their protocol regarding sighthounds and anesthesia.
I would ask what is their recommended Vaccination schedule, what shots to they recommend… Accepted protocol these days is after the 1st year, it is every 3yrs. Most do not give Lepto or Corona. And those shots should be separate from rabies by at least two weeks. Unless you are going to board your dog in a kennel, vaccinations for Kennel Cough is really optional (I don't give it).
Regarding Spay/Neuter, really you should go with your breeders recommendation. I usually tell people after 6 months, before 8 months. If you have bitches and do not want them to have a season, then I would go with around 7 months. All of my girls came in season the first time at about 8 months, could be earlier/could be later.
As stated if you feel comfortable with a Vet, even if they don't have Basenji Experience, then no time like the present for them to learn.