Verb conjugation of "budge" in English

My brother moved there last year. He met a woman and went after her. After six years they have broken up, but he no longer wanted to return, because he has settled down in his new home. I am visiting him once a year.
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.
Since when have you been learning Spanish? My children are not on Vocabulix, they are too small for it. We have no time for the normal day activities, and we are always on the move with the children.