E.B.
I'm sorry for your family's loss. It's so nice that your children want to help your mom at this time.
I read a beautifully written piece recently, about a family - with several young children - that experienced a death. There were offers of food, flowers were delivered, cards sent, lots of "call me if you need anything" etc. But one man came to the door with a shoe shining kit and simply said that he was there to shine the children's shoes for the funeral. And he did. He explained that during his own time of loss, with young children, no one had clean shoes to wear. He silently polished the shoes and lined them up and left just as quietly.
I'm sure it's not a true story, just one of those internet "feel-good" things, but the point made was that in a time of loss and grief, people don't really NEED flowers, as beautiful as they are.
What they need is the sidewalk and steps shoveled, bathrooms cleaned and stocked with extra toilet paper and guest towels, the dog walked, dishes loaded into the dishwasher, mail picked up, notifications made, airport runs to pick up out-of-town guests, beds made, clothes brought (and picked up) to the cleaners for the wake and services; all the things that must be done but are just too hard to do through the tears. If there will be lots of cars for a wake, have someone talk to neighbors and inform them that there will be extra cars on a particular evening.
There will be grieving, and crying, and there will be times when it seems too much to bear, but maybe the greatest gift is to allow the person who is grieving to not have to think about the mundane duties of life.
So maybe, if your mom will have people visiting or calling at her home, you might hire a trusted friend to quietly just make things ready. Clean bathrooms, straighten up the kitchen, vacuum floors, wash dishes, stock paper goods (tissues, toilet paper, etc). Make sure it's someone who understands that their job is not to sit with your mom but to make the house ready for others to sit with her. Is there anyone who could bring over a couple of quick meals, even if it's not a delivery service? Find people who drive who are willing to do errands and go to the airport when family is coming in, and have them ready to go at a moment's notice.
And most important, find someone to house-sit during any calling hours, during the wake, and during the funeral. Some particularly hideous persons use those hours to break into homes and steal things. Find a trusted person to stay at the house and make it look well-lit and well-lived in and well-guarded during all the times your mother will be at the funeral home or church.