while i'm in an offline coven, we all did a solitary initiation since we find it a personal thing. while you could do a huge ceremony, the easiest one is to speak from the heart. get an offering [i had juice and a cupcake for mine lol] and that's really all you need. if you have incense, candles, and tools, use them, but they're not needed. i had an incense burner and some candles, my athame and my book of shadows, but that's it.
first you should have a purifying bath [add sea salt to your bath] just to cleanse yourself of negative energy. don't have a bath with soap and water, just soak for a few moments and feel the water, visualize it washing away all negativity. once you're done with the bath, go to wherever you're preforming the self dedication and cast the circle. mediate for a bit if you wish, then call upon the Lord and Lady, state who you are and why you wish to become Wiccan. once you feel done, offer the cake and ale [take a bit for yourself] then sit quietly and see if you feel an answer. thank them, and open the circle placing the offerings outside.
basically that's all you have to do. if you want something more ceremonial there's plenty to choose from.
there's one you could try.