Do keep them dry, but do not go overboard such as packing in desiccant packs as, if the scales are vintage Ivory (and it does appear to be from the photos), a drastic change in humidity can cause the Ivory to crack.

The best thing you can do is get them to someone who has experience restoring Straight Razors and inspected for potential rust first, rust and moisture are your biggest potential dangers. They do appear to be stable, from the photos, but only a, hands on inspection can give you an accurate evaluation.

The most problem prone area of a razor is the pivot pin where the razor is pinned to the scales. There does appear to be some rusting stain on the inside of the scales, so do determine if active rust is present as soon as possible.