Lightbulbs for my Headlights

One of my headlights went out and i wanna replace it....now i went to a nearby pepboys and i saw some 'hyperwhite' and other such lightbulbs...My question is will it cause any problems? Does it drain extra power? I ask this because i had a Galant before this car and when i did swap the lightbulbs from my headlights it messed up my battery and alternator....my mechanic at the time said it was becuase of the lighbulbs...any feedback?? apprecaite it
thanks

No, they won't draw more power. I upgraded to Nokya Arctic Whites which are 110/100w high/low. As a reference, stock bulbs are 65/55w (IIRC).