You can remove your makeup with saline ( the combination of salt and water that you can get from a pharmacy). Besides, you can also look some special items for remove eye makeup such as "Oil Free Eye Makeup Remover". I heard from one of my friends. she told me that the remover are great and can help you take off makeup wonderfully. Besides, you can also use some cotton pad things to help you clean eyes. Hope this helps.
Generally speaking, most of the doctors will allow the patients to apply eye makeup 2 weeks later after lasik surgery. However, they still should be careful enough to remove the eye makeup safely in case it get into eyes to cause any problems. Just use a cotton ball to dip in the pure saline not saline solution and then gently wipe the eye makeup around your eyes with the cotton ball. When removing the eye makeup, You should be careful enough to prevent the eye makeup getting into your eyes.