i'd say yes to the moving out
you seem independent and you say you would like to - it would give you a bit of a break from your family and allow you to become a more independent individual.
Uni campuses (on campus accommodation) can be a great way to meet people, make new friends and enjoy the uni lifestyle so you might like to look into them. You could even try on campus accommodation for a while and then move out into a unit/flat with friends after that!
Or another option if you are looking for company is a share house - there are some about where you rent with other uni students which could be good to meet people and provide you with some company.
Anyways just do what you think is right.