^^^^THIS.
It took me several months for me to move out of my parents' place after graduation, and believe me I was counting. every. single. second. until I could get out. It wasn't because I hated them. It was because I knew where I belonged, and it sure as hell wasn't the small town where I came from.
Good luck with the job search! One piece of unsolicited advice - mention in your cover letters that you have every intention of moving to that city. Sometimes employers get weird about "out-of-town" applicants.