I know this may be really hard to do but here is what I suggest. Take one full day off. Take your child to daycare so he will be out of the way.
The clothing situation.. options.
get boxes and sort, what you wear vs, what you want to keep another box of need ti get rid of and the the unused, outdated, worn out clothing, shoes, handbags..Yes, jewelry too
Get rid of all of the makeup and hair products that you no longer use.. ex.. 3 months and never touched it. The remainder that you do use, place make up in a tray with sides or a basket. This way you take this tray out from a designated drawer or bathroom cabinet. Another box for your hair products. Really hold back on purchasing any new products until you need them. Throw away old products you have not used in the last year or last 6 months.
Do the same thing with your sons toys. I promise, he is not going to notice if you get rid of the broken, toys he does not play with and things he has outgrown. Put these in the trunk of your car and do not let him see them. Drop them off at Goodwill.
Organize his room so that he has places to put his books. on a shelf or in a pile in an assigned basket or box.
His arts and crafts need to be all together again on a shelf, in a box or a storage bin. Same with his toys. Then when he takes them ut they are all together. when time to clean up, hand him the basket, box or bin amd have him dump them in there. again edit this stuff time to time as it breaks, wears out or he loses interest.
If he is not good at making his bed, purchase a sleeping bag and let him sleep on it on top of his made up bed. Yes, they can be washed and dried.
There are laundrymats that do laundry by the pound! It is awesome. I used to drop ours off one day and pick it up the next afternoon. it was all washed dried and folded! I would do this when the laundry had gotten totally out of hand.
Clean out your pantry again anything you have not used in a year.. I would throw out or give away.
Once you have this all done, THEN call your mother and ask her to come for a day or 2 and the 2 of you clean the windows the appliances, and yes the carpet.
I am a mom of an adult child and I, in no way, shocked or offended by her "filth" this is HER word! Ha! Each time she has moved it has been a big job, but we got through it. I will be going up east in about 6 weeks to make another major move. I am completely read to tackle it.
You can do this. I put on fun music or a favorite old movie and get to work.
Mom you are not alone. I recall working 60 hours a week, with a husband working 60 hours and our daughter. Our house was a wreck sometimes. we did get a house keeper to come in once a week. Laundry, cleaning the kitchen and bathrooms. It was awesome. But yes, things did go missing. I think by her kids. When she would com eon her own things were fine. I should have not allowed her to bring her teen kids.