On the left is a standard belt sander, to the right is a standard air powered random orbital sander. The amount of molding you have to sand off will determine what type of sander you use. Whatever sander you use, it is of utmost importance to use extreme care not to sand anything off the plywood tabletop. Most veneers are remarkably thin.

This picture shows a belt sander. Carefully sand the molding almost flush with the tabletop, and be very careful not to sand the plywood tabletop.

This picture shows the random orbital sander. With this type of sander, less wood is taken off. Because of that, it is easier to know when to stop sanding.

The black circle is sanded correctly. The white circle is sanded to deep and has exposed the plywood core.