I agree getting up earlier means you can fit more in but I don’t think this is sustainable honestly. It would mean Op getting an hour less sleep which is never a good idea when you are parenting primary age hyper boys. Also one hour less in the evening to decompress which if she is going to bed between ten and eleven is the only relaxation time she has in the day.
Much better imho to try and fit more in to the hours you are active and protect sleep and relaxation.
An hour or so every Saturday morning with music on loud, when you all clean together. Boys can sort recycling, hoover, clean sinks, fold laundry. They can also strip beds and out washing on.
Then you all go out for a blast of exercise followed by a cafe “treat” or fast food lunch.
Wear them out Saturday morning and then you can do one or two important tasks, eg kitchen cleaning, in the afternoon while they watch a film.
Every evening during the week do half an hour of intense tidying in each room in preparation for Saturday clean.
Invest in a few tools like the Karcher surface cleaner and long handled scrubbers for shower. Allow products time to work.
During the week, while supervising the boys baths, clean one element of bathroom per day eg sink on Monday, loo on Tuesday, floor on Wednesday, bath on Thursday, loo again on Friday, surfaces and storage units on Saturday, wash towels Sunday.
One load of laundry per day. Fold and put away straight out of tumble drier. If you are behind, get a service wash to catch up.
One night a week, say a Thursday, skip the baths, and just let the boys have a quick shower or flannel wash and in the time saved, they each tidy their bedrooms before bed.
Make sure each room has a divided container for things which need to be sold or go to charity,
Sunday, get the boys chopping vegetables and make something like an enormous bolognese sauce and enough for following night and in the time saved on Monday night, focus on one cleaning task eg downstairs floors?
Every time you cook, do enough to put one portion in freezer
Flylady and TOMM are good systems and even if you don’t follow them exactly, you can cherry pick the elements that work for you.
And in addition to above, pay a baby-sitter to look after the boys for three hours one weekend morning or afternoon and use that time to organise your house and get back on track. Or swap with another mum friend. Or advertise for a fit active grandmother type on your street who can become a mother’s help.
Good luck op! Please don’t call yourself a bad parent or say you are failing. Every day your boys are washed, dressed in clean clothes, educated at school, eating reasonably good food, is a win! And all of those things plus earning a living is a massive, massive endless task! You are doing great! 💐