Turning in Front of Cyclists

Is it OK for me to turn right at a stop if a cyclist is to my right?

If a cyclist is to your right at a stop sign or traffic signal, one of three things is going on. First, the cyclist could be in a designated bike lane in which case the law and safety require that you yield to the cyclist and wait to turn. Second, it's possible that you overcame the cyclist as s/he was approaching the stop which was discourteous and unsafe of you; you should have waited your turn. Defer to the cyclist. Finally, it's possible that the cyclist overcame you at the turn which was rude and dangerous of the cyclist; regardless, since the cyclist is more vulnerable, you should wait for the cyclist to proceed before turning.