I don't trust my husband with our baby
Is there a reason you don't trust your husband?
Several months ago he left the baby in the car.
You should talk to your husband about that and discuss what would be needed for both of you to build back that trust.
We're getting a divorce.
Oh I am sorry to hear that.  It is expected that both of you will be involved in the child's life, so it is still beneficial for both of you to try to work out this trust issue.