You will first need to remove them from the wall hangers they have been positioned onto, this should be performed with great care to ensure that no damage is caused to the fabric. Shake down your curtains to remove any excess dirt, if you have a vacuum brush you can get the excess dirt off before taking them down from the hooks. You can now place them into the washing machine without any other fabrics. Once the curtains have been washed do not put them into a drier as this can cause the fabric to shrink. When they are partially dry lay them out flat and iron them to reduce the appearance of water marks.
You can also hand wash them by filling the bathtub up with water adding some detergent and letting them soak for a few minutes. Avoid rubbing the fabric too hard to avoid any type of damage. If you do not feel comfortable washing your own ready made eyelet curtains you can take them to the drycleaners to ensure that they are washed properly.