I think the main problem with makeup removers is that they can be quite harsh and irritating which can aggravate acne. So, try to find something that is labelled as non-comedogenic and/or for sensitive/acne prone skin. You mention that you have oily skin but don't let that fool you into thinking you need something stronger or to scrub harder. I used to have extremely oily skin so I do know what a nightmare it is! (It's much better now thanks to benzoyl peroxide and an anti-androgen.) But trust me, it really pays to be gentle with your skin
Whether or not you need a separate makeup remover aswell as a cleanser is an individual decision. I usually wash my face in the shower at night just with my regular facial cleanser and no trace gets left behind... If I'm washing my makeup off in the sink though I sometimes use a makeup remover before I cleanse. I'm sure there are various gentle cleansers available but I can highly recommend what I use:
Avene extremely gentle facial cleanser and eye makeup remover - I apply it with cotton wool pads
La Roche Posay purifying foaming gel cleanser for oily sensitive skin - this is my regular cleanser and it removes all my makeup satisfactorily if I'm showering
Wet wipes are probably ok if the ones you are using are for sensitive skin but I think they can often be quite harsh. Also be careful not to rub your skin too hard (irritation aggravates acne.) When I use my makeup remover on a cotton pad I put quite alot of product on the pad then very gently glide it across my skin.
Hope that helps
Edited by Flaxen, 27 December 2012 - 02:43 PM.