For determining any part-year interest allocated to VA, it is usually only the amount of interest income received while a resident of VA. If you get a 1099-INT for the interest that relates to the entire tax year, then just allocate the interest to your part-year VA return based on the time spent as a VA resident.
For example, if the full year interest is $120 and you were a part-year resident of VA for 5 months, then allocate $50 ($120 * 5/12) as VA sourced interest income .