Wow... well, you are the one having the baby.. .and you will need to tend to baby, that is the first priority.
Your Mom is high-needs, high-maintenance and needy and takes everything personally.
Even your Husband gets so stressed with her around.
It will be stressful with her around... but well she will be there.
Just be glad, there will be a time she will be leaving, after 7-10 days... and do NOT encourage her to stay longer.
Each Mom, has their own 'specialty'. MIL is great around the house. Your Mom is great at being a cheerleader. So, keep their 'role' expectations separate... and know their limitations. Don't expect something of your Mom, that is just not attainable.
Then, on paper or a chart... "organize' YOUR home and their "roles." Specify what YOU want, and what THEY can do or not.
Otherwise, you will have to spend a lot of time.... referring them and pleasing them and catering to your Mom. Which you shouldn't have to do... because you will have a new baby and need to nurse around the clock and bond with.... WITHOUT obstruction, by them.
AND hopefully, your Husband is not ousted, in this process/his time with baby/his time with you both bonding... and caring.
I would make sure... they both do not get in the way.. or your PERSONAL space... and needs, with your new baby AND Husband.
You will need PRIVACY too....
ALSO, if you do NOT want them there in your home and for the birth.. then STICK to that... it is YOUR and your Husband's wishes.
Or tell the Moms... that STAGGERED visits... would work best for you and the new baby... that way, you can have 'help' for longer, a longer time frame.... which is more "practical". After baby is born.
all the best,
Susan