I'm close to your age (I'm 22), and also have combination skin that is also pretty sensitive.
As far as cleansers go, I love the Clean & Clear Oil Absorbing cream cleanser and Neutrogena Rapid Clear Oil-Control foaming cleanser. I prefer the Clean & Clear one, by a small margin, because it seems to help with blackheads a bit better, and I would have repurchased it this last time, but the store was out, and I needed something because I literally had no cleanser left, so I decided to give the Neutrogena a shot since it seemed like a similar product (and it is).
For an exfoliater, my absolutely favorite, HG is St. Ives apricot scrub for sensitive skin. Ah-mazing!
Because I have dark acne scars from my teenage years (that makes me sound old, doesn't it? LOL), I use moisturizers that are made specifically to treat dark spots and uneven skin tone, but I'll recommend them anyway because well, they're awesome! The first one, which is the one I would recommend most, is the Aveeno Positively Radiant moisturizer. It's got SPF, a little sparkle, and is lightweight enough to use day and night. The second is a bit heavier, so I only use it at night and is Neutrogena Rapid Tone Repair.
Using these products, I rarely get breakouts (I generally have 1-3 tops at any given time), and usually, they're hormonal and there's not anything I can do to prevent them. My skin has honestly never looked or felt better!