How to proceed after academic dismissal from PhD program (plagiarism) and successful completion of master's?
As mentioned in the comments, I do not think that you will be able to find a supervisor who does not know you well already if you have a record of dismissal for plagiarism.

You could try:


Telling the truth about your dismissal (lying or omitting that you were dismissed would likely be grounds for getting dismissed again).
Explaining, with evidence, why it will not happen again.
Do not mention the nature of the trauma you experienced.  Academics are not likely to consider any kind of trauma to be an excuse for plagiarism.  And they are likely to have strong opinions about how children are raised.
There is no need to give the details of the process leading to your dismissal.