This easy to install Laundry to Landscape system, built using greywater guru Art Ludwig's free open-source plans, seems simple enough. It certainly requires greater attention to detergent choices and a greater level of understanding about what is needed and not needed in your soil, but with a little extra effort, you might be able to water your garden after all. Take care though — many municipalities have regulations around greywater systems that are worth researching to avoid running into trouble.
Art Ludwig has written extensively on the subject in his book The New Create an Oasis with Greywater: Choosing, Building and Using Greywater Systems - Includes Branched Drains, and additionally you can check into this post at Root Simple to learn from someone who has used Art's plans to build a system.
(Images: Root Simple)