I am not sure why you are thinking about leaving your husband, so please take this information as information and not a reflection on your situation...

Depending on why you are leaving your spouse there are organizations that will temporarily foster pets. Since on of the most important reasons women will not leave an abusive spouse is because of a pet, many women's shelters will now foster the pets out while the woman is in the shelter. This provides peace of mind for the woman and kids, so that the husband won't abuse the pet while she is gone.