He does shopping (and buys too much) = online deliveries.
He cleans (around the hoard) = get a cleaner, it'll take less time and effort when there's no crap in the way anyhow.
He fixes things = pay somebody to fix them or get a bulky rubbish collection and order a replacement if you actually need one.
He cuts the grass = pay somebody to do it. You'll also have a clear shed in which to store one functioning lawnmower.
You're too tired to do as much with the children = if you weren't constantly trying to mitigate his joyful shit gathering, sneaking crap out and feeling like you are slowly being walled in behind his crap, you'd probably sleep better, be able to move more freely and have more time and energy to be able to do stuff with your children.
You go on camping holidays = if you aren't spending all this money on shite, you could book a comfortable, accessible holiday for you and the kids, rather than have to have all that camping stuff also cluttering up the place and feeling the need to escape from the crap.
You do activities together = do them without him. Or stay at home and enjoy a nice, clean, uncluttered and safe home.
It's fuck all to do with you being ill - gives him an extra element of control over you, gives him yet another excuse, gives him more power because you're less likely to put yourself and the kids first over him, but it is nothing to do with you.
He's overwhelming you with what he wants all the time. He's taken over your life, your home, your environment, the air you breathe and the space you move around and exist it. He's smothering you slowly AND HE DOESN'T CARE because it makes him happy to have stuff, to control everything and everyone around him, to have you thinking you're dependent upon him - and because he's managed to get hold of a larger space in which to get more stuff.