A process for efficiently conveying containers along a table-top conveying system includes the steps of temporarily securing a transfer stabilizing support (1a, 1b) to a bottom end of a formed container (14) so that the container can freely move along a production line using the table-top conveying system where the transfer stabilizing support has a bottom surface (2a, 2b) with an opening (4a, 4b), a sidewall (6a, 6b) extending substantially perpendicular to the bottom surface, and a ridge area (10b) surrounding the opening and inside the sidewall of the support; and after the container has gone through operations of the production line, the transfer stabilizing support is removed so that aesthetic qualities of the formed container shape are revealed.