Translation of patinete

I remember that after highschool I went to study English in New York. First I did not know whether the city was right for me cause I wanted a place where I would not feel lost. However, it was the right choice.
Please explain me the exact differences between British and American .... This year I'm trying to make the TOEFL. We can then discuss how we can prepare for this exam. I failed the first time.
Thanks again for your letter. For now, the weather here is like it is in your country, ice cold. I will write you a letter in Spanish and in English. So you can compare the sentences.