I wouldn't worry about your grandmother! I don't think that if it wasn't cool, she wouldn't be allowing it!
and this should be a cool time for you and you grandmother to get to spend some quality time togewther!
just be yourself and hopefully you will adapt and make new friends!
I just moved from Brazil to Maryland about 4 months ago, and it was a big change, especially the weather! I'm still getting used to things!
I'm just a prisoner in this jail cell of a planet.