Sound like you are a righty. . . correct? It's probably not your grip so much as your trigger pull. It is very typical for righty's to squeeze down and to the left. Get you some snap caps and practice in front of the TV or wherever until your sights barely move during trigger pull. Trigger pull is the most important aspect of shooting a handgun accurately, grip/hold is also important, but easily fixable with less time than trigger pull.
You will love your new gun! Congrats and enjoy!