Financial aid is school-specific, and aid cannot "transfer" per se. Instead, your new school will need to calculate your eligibility for aid, and award you based on their calculations. This could be the same at both schools for federal aid, but not necessarily.
To receive aid at your new school, you need to first update your FAFSA with their school code, or if that has been completed, accept enrollment and your financial aid package by contacting the school's financial aid office.
To cancel aid at your original school, contact their financial aid office. They may ask you to formally withdraw or have other paperwork for you at that time.