My bin is almost empty of plastics. I use eggs and vinegar for my hair (sounds disgusting I know, but it works very well). I clean the house with lemons, bicarb and vinegar for most things. I do have the odd thing around like clothes washing liquid in plastic, but they last months before I have to throw them out. I expect one day that will be gone too.
It took a total mindset change to try some of the changes but once I got used to the idea that lots of lather isn't necessary to clean things it got easier. And no one has got ill, which was my main concern, but I've never really sprayed disinfectants around anyway.
My OH was a bit taken aback at first, but I just made the changes and told him later. Our shopping bill hasn't really gone down, we just buy different things, but I do like the idea that I am reducing not only the amount of plastics going back into the world but my dependence on mining for oil. Not a lifestyle for everyone I know.