What are the reasons you are considering a basenji? (Hypoallergenic? they are not. Barkless? Maybe, but certainly not silent.)
Most basenji pups are born in December because the females only go in heat once a year. Most puppies from reputable breeders are spoken for sometimes more than a year in advance. A good breeder tests both parents for all genetic diseases (have you read about Fanconi?). Also, a good breeder will make you promise to return the dog (regardless of age or health) if you cannot keep it. If you buy a pup from a back yard breeder, you could getting more heartache and expense than you bargained for.
Having a basenji is like having a 2 yr old. Are you sure you want a second 2 yr old at this point? You have one baby now. Will you have more? You can count on a b-puppy destroying your child's toys. I was lucky to adopt a 3 yr old basenji who was given up because the 3 yr old child kept banging on the dog's crate and the basenji was so stressed he was licking raw spots on his legs and developing behavioral issues. They had to crate the dog to protect him from the child and they got tired of yelling at the child to leave the dog alone.
I got a dog first and then had babies. It can be done, but you have to be very committed.