First, my welcome to these forums. My welcome also to this Faith. Remember that you are not leaving another Faith, but are fulfilling it.
If you are speaking of forms and manners and ways, there is, except for the Obligatory Prayers, none. And those forms in the Obligatory Prayers are given within the text.
It is your heart, your soul, that prays, and you may position your body in whichever way you feel comfortable, and face in any direction you find yourself. We are encouraged to recite them "melodiously", for the voice can influence how how heart feels. Spoken, sung, chanted, is entirely at your choice.
Bill has already advised regarding our Prayer Book. It is filled with wonderful Prayers, and many Baha'is use them solely. But if you have something in your heart you wish to speak to God about, then do so.
One last thing. Remember that Prayer is conversation with God. Remember to listen for the answers In their proper time, every Prayer is answered sooner or later in the most satisfactory manner.
Allah'u'Abha, Yasmina! Welcome to the forums, and welcome to the Faith!
As has already been stated, there is the obligatory prayer. These are three in number, and you get to choose which one you want to say.
1. The Short Obligatory Prayer: To be said at noon every day.
2. The Medium Obligatory Prayer: To be said three times every day (morning, noon, evening).
3. The Long Obligatory Prayer: To be said once in a 24 hour period.
I usually say the Long Obligatory Prayer right before bed. It's relaxing and helps me get to sleep.
Some people say all three. They'll say the Medium in the morning, and then again at noon along with the Short, and then again in the evening along with the Long. When they say the Long one is somtimes different.
Another thing to remember is that Obligatory Prayers are not to be said in public. You're supposed to do them at home in your own room, or wherever you can find privacy.