the best razor i owned or now own are the 10 pack for a dollar at the 99 cents store.
there is a trick however and it's called "amazing". it's a liquid silicon and no longer made. you wet your face, apply a drop of the "amazing" on the razor, and it cut very close, and does not drag on your skin. it makes the razor feel surgically sharpened.
i have been holding on to the last tube i have with the last few drops in it for years.