There is no fixed method of doing it. No two backyard farms would look the same and no two farmers would have used the same method. You need to develop your own ideas, space and resources. This book would help you to look at the big picture and help you find the right opportunities and possibilities available for you, when it comes to backyard farming.
The backyard garden can be formed with a few pots, with specific crops which would be enough to feed the family, all through the year. Thus, you need to have plants of all seasons. You can get organic seeds from shops and plant them in the soil. A little sun, adequate water and homemade or organic compost would be enough to start the backyard farming. Of course, the most important element to the success of backyard farming is interest in gardening.