as above and whatever you do dont go the other way round have your parents insured on the car and add yourself, it may be cheaper in the short term but you'll miss out on building your no claims! Though actually diudnt direct line make a big fuss about how named drivers can earn no claims? If so need to check that you can actually use this no claims with another insurer, rather than only if you take up a policy with direct line.
Also watch out for these 10month booster policies, sometimes you cant take the noclaims elsewhere if you dont do a full year with them!