I agree it can be hard in the first job (I didn't do it then), but I don't think it gets you labeled as a trouble maker. It actually could get you labeled as a thoughtful and aggressive person. This can actually help quite a bit for your relationship with the new company.
Just be sure you are negotiating with your new boss and NOT HR. Make it light and playful if you can. Explain yourself as best you can. Read up on negotiation (there are a number of great books on it) so that you don't do it in a way that is bad for the relationship.