I'm very sorry to hear about the problems you are having with your family (and with your depression). I hope you are able to resolve things with your family and that, together, you come up with a solution that is best for you and for your children.
I have not taken any antidepressants during treatment for myeloma, so I can't comment on whether or not specific antidepressants are recommended for myeloma patients.
However, your question reminded me that I had seen news here about antidepressants and, sure enough, I found two articles that you might want to consider.
One article says that an antidepressant has shown some effectiveness in the treatment of myeloma cells:
https://myelomabeacon.org/news/2013/05/31/beacon-newsflashes-may-31-2013/Another article says that an antidepressant is being tested to see if it can help in the stem cell collection process:
https://myelomabeacon.org/news/2013/08/12/beacon-newsflashes-august-12-2013/I think that both of the antidepressants that were researched in these articles are older ones, so they may have side effects that you and your doctors would have to consider before choosing them as treatments for your depression.