Hello Raizel
There is no right or wrong way to come out, but, if you have some level of anxiety about all of this, it would be good to understand the cause of your anxiety very well before you start, and to develop a course of action that would take this into account.
It also depends on what your goals are, and how these would be furthered by coming out. If you want to come out just to relieve an internal stress, this is perfectly valid, although it may not be particularly useful. Many of us come out as part of a transition process, although you've not explained whether that is part or your intention, so it's not so easy for us to make the best possible observations.
Coming out brings risks, and you already know this. In terms of reducing risk (and stress!) as much as possible I would say that coming out should proceed in the order of friends, family and then employer, and it's a process where you may need to stop and reassess based on reactions you receive. Bear in mind that when you come out the logical question from people will probably be "OK, so what are you going to do about it?", and it may be good to have a plan for yourself so that you can explain what you do intend to do. I was quite clear that my coming out and subsequent transition would be firmly in my control, and a detailed plan helped a lot.
As for the exact process of coming out, it really does depend. Some people have the courage to do it face-to-face; others prefer something less direct like a letter. The key thing however is one of attitude, and it's a bit self-fulfilling: if you expect negative reactions you will probably get them; and similarly if you expect positive reactions.
If you give us more information here we may be able to be a little more enlightening....

Julia