Free sample of dishwasher tablets with Smol (google it)
I also used to get the basic ones from Poundland
Also a drop of dish soap- like the size of a pea- can be used.
For shampoo and conditioner- be brave if you can and put a shout out for any free samples that people might send your way from you local FB group. I have a drawer full of minis from over the years that I use to take on holiday but if someone in need wanted them I send them their way!
Foodwise;
Buy a large bag of potatoes, cook them up in a variety of ways to add to your meals- chopped and fried, with herbs, roasted, mashed etc and there's always jacket potatoes.
Buy bread and freeze it, just taking a slice out as you need it- zero waste. Big pack of ham and block of cheese. Fresh cucumber and tomato as needed.
Rice and pasta in the biggest bags you can store.
Then your fresh ingredients can be bought daily if required- eggs, vegetables, small cuts of meat- chicken legs, bacon, mince etc and always check the yellow stickers.
You can do it- and you can even challenge yourself to come in under budget- even by a penny- to make it interesting for yourself as opposed to it feeling impossible or like a drain on you.