I think my boyfriend is cheating on me. I found underwear in his room that was not mine. I also found two condoms and we don't even use them at all. We have been together for two months and I love him but I don't want to leave him but I don't want to get hurt. What should I do?

Leave him. He's clearly cheating on you. Don't convince yourself that he'll change and stop doing it. It's only been 2 months and he's already cheating, he'll keep doing it. You are only setting yourself up for more pain if you stay with him now.

You dump him and not put up with this bad behavior.

He's not even bothering to clean up after himself. Unfortunately, it seems that he has about zero respect for you, or your relationship. It will hurt to break up with him now, but if you wait, then it will only hurt more in the future (either through mistrust, insecurity, or him breaking up with you... )