How do you deal with it when your husband can't help fighting with you in front of your small kids?

I try to be in control of the conversation. As much as the situation allows, I do not exclude my child from the scene to make her feel like it is a usual chat only. I listen to my husband's rants because he does more of the talking. Afterwards, I calmly explain my side which will eventually result in us solving the problem. It is always best to raise the concern to your husband when you are both calm and in the right mood to talk about these things.