I have five.
when they were all tiny, I ran a tight ship. was very organised, all school stuff was sorted the night before, housework was kept on top of (I did at least one room per day, toilets were cleaned as I went to bed, hoovering certainly done daily etc).
now my are older I am finding I am relaxing more. lunch boxes during the school week are still done the night before, and toilets are still cleaned as I go to bed, and washing is still kept on top of, but as for everything else......well, as long as the house is clean I am more relaxed about the mess (well, I say that.......I do still like it tidy so we all do our bit still!).
mine all have a lot of activities tho, plus obviously school, so we work to a time-table all the time........it carries thru with the house. plus, I am one of those mums who like to know what is happening, when, with who......tis my personality (and the childrens too).
I do think that you need to have some type f routine with many children. It stands to reason really otherwise you will never get organised to go anywhere. but if it is just not you, then writing a list of jobs that MUST be done each day and pinning them up for people to tick off as they do might well be enough for your family
((oh, one tip.........you need the older children on board for the list........mine are and it makes for a more peaceful house. oh, and with a list, I shout less as they can choose their job and get on when they are happy to IYGWIM))