I use my make up wipeys and a cleanser called Eskinol, which is a product of the Philippines. It's great!!! it really takes off all the dirt on my face and my neck.
I always use a makeup remover (Simple eye makeup remover- on my entire face though its meant for eye makeup) followed up by cleanser as I feel cleanser alone does not remove makeup thoroughly enough.
i do both. i find that the makeup remover only does the job of taking off the makeup and not cleansing my skin. i also have very acne prone and sensitive skin, so using only the makeup remover would not be good for it.