One more note of caution, make sure you buy a mild version. Meguiar's labels theirs "Mild" and "Aggressive", and Clay Magic uses "Fine" and "Medium". With either of the latter two versions, you very well may marr your surface slightly causing you to need a light polish to remove the damage.
Since your car is new, the Mild and Fine versions should do the trick. Just don't get to "aggressive" with your pressure. ;)
John @ Hill City Auto Detail
Professional Swirl Remover!