^ The past tense is because the grandma isn't alone anymore thanks to her moving there. The question is about why she moved to there when the rest of her family didn't.
That's an easy question to answer: stability. She said that her family had to move around a lot for work, which would mean that she's probably had to switch schools repeatedly. Her parents probably recognized that with the more challenging coursework from middle-school on, it wouldn't be good to be switching schools often, especially if their jobs make them move more than once per school year. Switching schools mid semester can be really tough if the school you move to teaches topics at a different pace than the one you left, leaving potential gaps in your education. It's kind of annoying getting to higher level math and having everyone else know what the teacher is talking about when it's something you've never been taught... (This happened to my daughter because she tested into a class by pure mathematical intuition that was post Algebra II at the advanced math and science high school she went to when she hadn't taken it yet. Yeah... she was that good at math that she could figure out the answers on a multiple choice test for topics that she'd never been taught... but that didn't mean she could actually show the work when she was required to do so later on! We ended up having her tutored in Algebra II over the summer by her old math teacher. It helped a lot. But I digress...)
Meanwhile, her best friend, who she's obviously in love with, lives close to Grandma... so she had an obvious personal reason to want to move in with Grandma... I'm guessing that her family spent a lot of holidays at her grandma's house or lived in the town at some point when she was younger and the two girls have obviously been friends for a long time. It is clear that she's not telling her crush the real reason she wanted to move in with Grandma is her!