If a breeder says she has AKC pups, what does that tell me?
It means that they are able to be registered with the American Kennel Club which is the only "real" registery for purebred dogs and the only registery that is reconized by Breed Parent Clubs (Basenji Club of America) in the US. Many are crossed registered with UKC (United Kennel Club). Back Yard Breeders (BYB) use ones like APR (America's Pet Registry) and CKC (Continental Kennel Club, not to be confused with Canadian Kennel Club) and are considered "Fly By Night" registries. Started by many PuppyMillers and BYB's so that they would not have to conform to AKC requirements for registrations.
Now just because the pups may be able to be registered AKC doesn't mean that a breeder is responsible and does all the right things before breeding. Things like health testing should be checked out by a potential buyer themselves at www.offa.org (search by name or registration number).
Here is a link on how to select a breeder that many have found helpful. http://www.tanzabasenjis.net/selectbreeder.html