Misaligned hands

[hendrixelixir]

So my hands don't line up exactly at midnight... seems a bit nitpicky but it really gets to me at the top of every hour, when the hour hand has passed its mark before the minute hand does. What's the quickest way to fix it? If I open up the back, take out the movement and just nudge the hand over a bit, would that work? The reason I'm asking is that I have yet to find a watch repair place that will work on reps... haven't really tried though. Is there a particular way to go about asking them? There's a local watch shop that sells Citizen watches, I think I will ask the person who works there.