You have received many good answers here. Finding myself in similar circumstances,I remember writing to the Office of His Holiness the Dalai Lama once, seeking guidance on the same question. The reply I received from one of the 14th Dalai Lama's assistants was:
"In response to your question "how does one become a Buddhist", it is entirely through one's own faith. A person becomes a Buddhist when he/she accepts by heart that the three jewels-Buddha, Dharma and Sangha as genuine protectors of oneself and other sentient beings from the sufferings of Samsara."
Certainly many take the Triple Gem by what is sometimes described as the common or mundane way, incorporating Refuge Vows in their daily practice. It is true ,though, that great peace and joy comes from receiving them in the supramundane way; from an ordained Bhikkhu in good standing, with meaningful ceremony and surrounded by friends in witness, as well as support.
As a member of Saddhamma Sangha, I would invite you to visit:http://what-buddha-said.net/sangha/Saddhamma_Sangha.htm
I wish you peace, love, and joy in your path! It is a life-long process of practice with many lamps by which to light your way.