Since you have already planned your garden on paper, and prepared the soil, this is the easy part. Depending on the vegetables you've chosen to plant, you can transplant seedlings that you've grown at home or purchased, or sow seeds directly into the ground. When planting seedlings, dig a hole larger than the plant, and water thoroughly before adding the seedling. Determine the depth at which to plant seeds by following the directions on the seed packet. Don't do all the work yourself.
Children love getting their hands in the dirt, setting out seedlings.
The rows may not be as straight as if you had planted yourself, but it's worth it. Start out by watering your garden each day, using a gently spray. After the first week, check the soil's moisture level on a daily basis, and water as needed. Weed your garden at least once a week, or as necessary. With intercropping discouraging weed growth, weeding shouldn't be too difficult a job.