Trays for securing an article of manufacture within a container include a recess for receiving at least a portion of the article of manufacture therein. The trays also may include one or more sidewalls extending from an edge of the tray towards a container-bearing surface of the tray. At least a portion of the sidewalls may comprise a plurality of generally curved regions defining a plurality of steps leading from the edge of the tray towards the container-bearing surface of the tray. Methods of packaging an article of manufacture include providing such a tray into a container, causing a surface of the tray to abut against a corner or edge of the container, and inserting the article of manufacture into the recess in the tray. Packages for shipping and/or storing such articles of manufacture may include one or more of such trays disposed within a container.