My suggestion would be:
Ask your mom to move in to take care of your elder daughter and some of the basic needs like housework and order confinement food from outside.
Hire a local confinement lady who works 9-6 daily. At least all meals are prepared freshly and from 6pm onwards your mum can come and take over and fetch your elder daughter.
I feel that at least when you are too tired to handle your elder daughter, your mum has the ability to pacify her rather than the confinement lady. And besides you will not be comfortable for the confinement lady to stay at your house the whole day so half day will at least sound feasible to you.