Begin with a brief introduction. One of the best ways to begin a eulogy is to introduce yourself. Naturally, this is only done if the officiant does not introduce you to the audience. Even if you believe that everyone should be aware of your identity, you may be misinformed. Some people in the crowd may want to remain anonymous. In addition to being introduced, it is appropriate for you to say a few words about yourself. This could include your occupation, how long the deceased had known you, or something more personal such as your relationship to the person being honored. The point is that there is a reason you are giving the eulogy -- so explain this reason! You should also let the audience know who will follow give a speech. If possible, allow each speaker two minutes maximum. Otherwise, be prepared to speak for less time than that.