Choose a shallow plastic container of any kind, or use a taller container, such as a gallon milk jug, and cut the top off with scissors to make it about 4 inches tall.
Wash the plastic container in mild dish detergent and water. Rinse it with water, and then submerge it in a solution of 1 part chlorine bleach and 9 parts water. Allow the container to disinfect for about 10 minutes. Rinse it well, and allow it to air dry.
Use scissors to make several drainage holes in the bottom of the container by poking the points through. Space the holes about 3 inches apart in all directions.
Pour commercial germination medium into a bucket, and soak it thoroughly with water. Allow it to expand in the water for about 10 minutes. Fill the container with wet medium so it's about three-quarters full. Follow the planting instructions on your seed packet for the planting depth, spacing and how much soil to place on top of the seeds for germination.
Insert your plastic grow box into a plastic grocery bag, and tie the top together tightly. Place the grow box in a sunny windowsill where the temperature remains constant at 68 to 70 degrees Fahrenheit.
Remove the plastic bag as soon as you see seeds sprouting. Keep the soil moist, and separate the seedlings when the second set of leaves appear. Transplant your seedlings into larger pots or into the garden.