You have the wrong breed. Sighthounds and herd dogs should not be around kids. Kids run around like crotch goblins. Sighthounds, like the Basenji, will chase and trip up your kid and friends. This is how Basenjis hunt. Herd dogs have a genetic disposition to round up and confine moving things, like cows, sheep or kids.
I can only forsee disaster for you and your Basenji. As you have a new kid, your attention will be devoted there. Your Basenji will pick up on these cues and start hanging around your kid and probably become aggressive towards you. Please contact BRAT. They will find a good home for your Basenji.
Basenjis are alot of work. They require alot of exercise and attention. You are already in a losing battle. And now a kid? You should reevaluate your situation. My recommendation would be a gun dog. They are trainable and behave more like a dog. This is what you seem to want. Don't buy a water dog. They have more oil in their body than most breeds. This oil insulates them from cold weather. Unless you are an avid water fowl hunter the oil is not a problem. If you don't hunt the oil will be all over your house along with a rancid doggie oder.
Bruce Fogel, DVM has published an encyclopedia of dog breeds. He devotes a page per breed. This includes a photo of the breed along with icons denoting items such as trainability, grooming, exercise requirements and socialbility. Do your research.
Narrow your feild to 4 or 5 breeds. Then talk to breeders. They will inform you if the breed is good for your situation. If they don't think the breed is good for your situation they will recommend a bred that is.
You probably got a Basenji based on size and grooming requirments. Should this be the case, look towards gun dogs. They typically average 20-30 inches at the shoulder and 40 to 60#. A little bigger than you want, but the personality is more akin to what you want.
Talk to a BRAT Rep. They are better equipt to analyse your situation and provide you with a resolution.