First, I never know if I should congratulate or give sympathy over divorce– sometimes it is the most healthy and happy move, others a devastating trauma. Just sending support either way and hugs.
Second, she might prefer him, but she'll get over it. Really. Unless she hates you, and she doesn't, she may miss him some but she'll be fine. Cara PREFERS my daughter Leora, but when she is at college, she adjusts. When she heads to Europe for 7 mos, she'll adjust. Dogs in rescue adjust. And with him gone, she may bond to you closer.
Third, check with BRAT and local BCOA member for vets knowledgeable about basenjis. This is a good bit of info on selecting one:
http://www.2ndchance.info/goodvet2.htm
Dog walker–- that's a bit more disconcerting. It would be nice if we could get them to use a litter pan and avoid the unknown-- but like a vet, interview. Talk to their other clients. Have them come meet your dogs. And use double collar or collar harness with the chain on end to avoid chewing through leash. Actually have the person GO WITH YOU once, and then have them take the dogs with you in a car observing (leave, get in car and have them walk where you will be so your dogs aren't looking).