I'm aiming to do this. What I've done so far:
Sun - bought a shampoo bar (non-lush) and a bamboo toothbrush.
Mon - took my own jar & got loose herbal tea from the herbalist and dog biccies from the bulk bin at the pet shop in a reused bag.
Had to buy poo bags today, can't see a hygienic way round that. They are degradable, but of course that means they just break down into microplastics.
Another problem is buying milk. We live in a town house directly opening onto the pavement, so getting it delivered in glass bottles would mean having it stolen more often than receiving it. I do get local organic unhomogenised. There's a dairy farm about 5 miles away along a cycle path, but can't see myself doing a 10 mile round ride to get milk.
I do the main supermarket shop in Aldi, which is horrendous for plastic packaging, but I do get quite a bit of meat from the butcher and veg from the greengrocer. I've already started taking my own tupperware and mesh bags so I'll amp that up and just stick to recyclable store cupboard stuff like tins & jars in Aldi. Also have a wholefood store, so I'll get nice local cheese in wax paper there and they also do Ecover etc refills.
I've already been using a mooncup, bar soap, tea infusers as regular tea bags contain plastic. A tip for bar soap is to store it on a dry folded up facecloth between uses to save it from becoming soggy.
I've made my own toothpaste from coconut oil, bicarb and a few drops of peppermint oil, and deodorant from bicarb with a few drops of lavender oil, so that's two plastic non-recyclable containers I've avoided. My teeth feel super-zingy clean, and I'm totally non smelly in this heat, despite being hot & sticky 