Clean the surface of the old kitchen table by scrubbing the table with a soft brush and mixture of detergent and water. Wipe the table clean with a damp cloth.
Sand the old kitchen table with 220-grit sandpaper to remove any bits of old paint and rough the surface for the new paint. Sand with the grain of the wood. Wipe the table clean with a cloth.
Brush a coat of stain-blocking primer onto the old kitchen table and allow it to dry. Sand the table with 220-grit sandpaper again and wipe the wood clean.
Brush a new coat of paint onto the old kitchen table. Apply an even coat to the entire table and allow it to dry. Sand the table with 220 grit sandpaper and wipe the wood clean. Brush a second coat of paint onto the table and allow it to dry.