One fine day simply handover your child to your husband and ask him to do his chores while you go out with friends or a spa or parlor.
You need to convey your thoughts to him clearly that a child is responsibility of both parents.
Just tell him straight that you need help but say it at a time when you're not emotional about the situation. Try to make "lambing" while saying it and i'm sure he will be more than glad to help.