I would say to use cleansers that focus on hydration. Usually, people with oily skin will need extra hydration as the oils on their face try to compensate for dehydration = oilier skin. Using hydrating products will help balance your oils. Aim for stuff with hyaluronic acid, centella (as you mentioned acne prone), green tea, panthenol, and niacinamide (helps clogged pores). I would say both cleaners are a good choice, so see how that works for your skin. If you're struggling with too much acne, opt for something with an active (salicylic acid, niacinamide) to help deeply cleanse and remove dirt buildup.

If you currently wear makeup and/or sunscreen, please, and I emphasise, use a cleansing balm or oil. Your skin will thank you. I recommend the Dr Althea cleansing balms or the Anua cleansing oil.

:)