No worries- Mr C E Le-Valley’s patented improvement in safely razors have you covered.

…invention relates to a safety razor and stropping device, and has for its object to produce a razor of this type having novel means for positioning the blade upon the supporting plate or base and there hold and a device connected to the razor adapted to hold the blade for stropping, all of the parts of which article are a adapted to be taken apart and compactly arranged for carrying

 Sounds confusing? They say a picture is worth a thousand words, and the drawing accompanying the patent is a lot clearer than the description:

While modern stainless blades don’t require stropping, I could see something like this be adapted as a combination SE-razor / shavette.