I used to use and like Culmark brushes - the ones with the plastic dimple handle. I still have one in the bathroom cupboard. I understand they do a few different types with the same handle but different bristles. They are at the budget end but good not shit, and used to be available from just about any neighbourhood chemist but I wouldn't know now. For soap, I started off buying proper shaving soap, either tablet or stick but ended up using hand soap that lathered well. Because of my reaction to soaps and detergents, I went to using Neutrogena facial bar but it's bloody expensive and if you don't keep it dry, it dissolves away. Before going electric, I tried a few of the pressurised tins of foams and gels which weren't bad, as I recall - I particularly liked the gels lathered with a brush. It's about a couple of decades ago now so I'm not up to date.