P.R.
My biggest suggestion is for you and your husband to sit down with the children and talk about this and everyone's feelings about it and what chores, etc., the children can take on. Then, together, draw up a chore list (mine are in my computer and easily changed and printed out weekly) giving each child a set schedule for the week. Aren't you lucky your children are as old as they are???? This will be a big help for you both! Secondly school is starting soon and that will be helpful as well!!!
Explain that while you know laundry will have to be done on the weekend for dad it will leave a lot more time to spend with him and as a family doing family things if there isn't a lot of house work needing to be done while he is home.
For instance, on Monday 9 YO can run the dust rag through the house, 13 YO can tidy up and clean the bathrooms, 15 YO can run the vacuum through.
Meals can be real easy if you have something set out to thaw or in the crock pot before you leave for work. Set the table the night before for breakfast the next morning and have an assembly line to pack lunch for everyone and the dishes are quickly rinsed, or in the dishwasher before the last person leaves the house. The 15 YO and 13 YO can take turns starting dinner and the 9 YO sets the table.
No reason they can't all help with the laundry and basically have it done before you get home from work. Loads can be easily washed, dried, and folded by them while homework is being done. I have a rule with the 11 YO I am now raising that everything be washed in cold water so there are no slip-ups with colors bleeding and he knows dark, medium dark, light and whites and actually is quite good at it.
It is light late enough that they can handle mowing the lawn, etc., during the week as well if you have a yard.
We picked a Thursday night to get groceries for the week and have a list on the refrig where everyone is responsible for adding things we are low on. Catsup, cheese, cereal, etc. and that has helped a lot as well.
I tend to cook ahead. We pick one evening, usually Friday, and make up spag. sauce, chili, meatloaf, etc. if we are having it the following week and put it all together then post the weeks menu on the refrig. You can freeze the stuff so it stays fresher. I boil up chicken, we bone it together for things like tacos, chicken and rice, chicken and noodles, and it is easy to throw it together the night we need it.
Make them responsible for helping and reward them by letting them pick up special things they want to do with dad when he gets home. He is going to be tired from all of the traveling and the time he is home should be a special treat for enjoying family!
You will be surprised how much they can accomplish and the rewards of a lot of verbal praise and acknowledging all their accomplishments will encourage them to do their best to help your family by both you and your husband.