Maybe have your child do chores that pertain to himself...like cleaning his own toys.

Then have a list of things (realistic) of what you can do and put it on the fridge for everyone to see. Tell your husband that you're overwhelmed and you will attempt things on the list. (In terms of cleaning) Also ask him to take a day off to watch what you do during the week, but don't let him help. He may not understand, but he should see how hard it is for you to maintain the house with a rowdy personality.

I make my boyfriend do small stuff like throw the trash out and put his laundry away. He should be able to do low-effort things to help you around the house.