A safety razor is a completely plastic free swap which will last you a lifetime. These are hand crafted with sustainable wood and metal and use double edged metal blades which you can collect up in a tin and eventually take to a household waste recycling centre where they can be recycled (you may need to double check with your council but they do accept these in Dorset).
Coconut & Cotton Wooden Safety Razor
A wooden handled safety razor, suitable for face, legs and anywhere in between. Razor blades sold separately. There is an video on how to assemble in the description.