Definitely dishwasher if you have the space. Ours goes on every evening and is emptied before we go to bed.
One of us runs the kids bath, gets their clothes for the next day out, puts away clean washing and baths the kids while the other cleans up after dinner, loads the dishwasher and runs the Hoover over downstairs.
Declutter and be ruthless. For example, if I read a book and know I'll not read it again, it's put in the recycling.
Dealing with outgrown kids clothes and toys - I have big bags in the bottom of my kids wardrobes, as soon as they've outgrown something it goes in there, then when we're seeing our friends with younger kids I sort through it, bag up what they are getting and the rest goes into a bag in the car to be put in the charity bin next time I see one.
Cleaning in bite size portions. We try to do a bit each evening, while the kids are in the bath or getting dried (after the downstairs routine is done) one of us will change the beds, Hoover the bedrooms, clean the downstairs loo, Hoover the stairs.
A wash goes on every evening on timer to be ready to be hung out the next day before work.
Lunches are made the night before.
I shop at lidl on my lunch break with a list on my phone (app called 'out of milk')/ book a tesco shop to be delivered and add stuff as I think of it / have milk delivered / bulk buy meat and fish in a co-operative scheme (I go once every two-three months) and freeze it all.
We are very fortunate to have a playroom for our kids so don't have to deal with toy clutter. In our old house, before we had a playroom, we had everything in big boxes that would have their lids put on every evening and stacked up.
I have an online calendar which is linked up to our phones and everything goes on that.
I update our accounts on a Sunday night and deal with household admin as it comes along. Try to do as much as possible online. I've a big file box with dividers for different financial information and as soon as something is dealt with it's put away.
We've a bench in the hallway with a lift up seat - all shoes are stored in there. Coat hooks above it.
Shredder at the front door (beside the bench) so post is dealt with immediately and stuff isn't hanging about all over the house.
Sorry it's so long, I got a bit carried away there!!