What basic skincare products are best for someone with a skin type prone to breakouts?

I tend to get breakouts frequently around my mouth and forehead.

It's not quite adult acne, but I've been getting breakouts and pimples.

It looks messy, and it keeps bothering me when I do my makeup.

Also, it doesn't go away easily, and it seems like it might be causing skin discoloration.

My skin is on the sensitive side, so I tend not to apply a lot of different products.

I've been applying just a little tea tree oil in the evening, but...

Are there any others who get breakouts frequently like me?

If you have one, how do you manage it?