We have one member who have chronicled her pregnancy and life with baby and basenjis that are amazing and wonderful. Started out with very well socialized dogs, not "spoiled" dogs who thought they were the boss, and worked all during pregnancy to have the dogs ready for baby. The dogs (intact males) ADORE the baby, the cat, etc.
That said, this happy ending requires a lot of work and prep on the human side, then being aware and attuned to the dog and the baby, making things work out.
But, as Robyn says, many basenjis come into rescue a few months after the baby comes! Humans are exhausted, no time for dog and exercise, dog is ignored, pretty soon dog is chewing or growling, next stop, rescue or shelter. You think, oh this could never happen to us, but for many, having a baby is overwhelming.
I don't say that to discourage you, just to keep your mind open and be aware that it surely can work, and beautifully, but it will take effort. I usually ask people what they call a dog grabbing a kid with his mouth, maybe as a snap, but doesn't leave a mark…is that a 'bite' or a 'correction'? If they say, oh no, that is a bite and I won't have a dog that bites, I tell them a basenji may not be for you. Not to say that they are biters, but I have seen more than one 'correct' a child that sure made them straighten up, made the humans run to rescue, found tears and not a scratch or red spot. The dog very carefully used his mouth to correct my grandson, who calmed right down and was a better little toddler after that.
Chewing? My almost 13 year old will grab a shoe if left unattended, but my boys never touch anything. They are all adults of course, I don't take anything under 2, but most are done with 'evil' chewing by 1 or 2.
We have one cuddle bug, you can't sit down without Eddie on you. The other two will lie beside you off and on, all love to be snuggled and petted, all sleep under the covers.
There are some, though, that just aren't cuddly, depends on the dog.
They do have lovely long lives, though!
It is good to really think through a big decision like bringing a new member into your family, but you can think too much! Sometimes you just have to go with your gut and jump into basenji-mania. As Patty said, we have a group that meets every Sunday for a couple of hours here in Tampa, any time you want to do a road trip to meet basenjis, just let me know and I'll give you directions and be sure we have a good turnout.