Once she studies your hair, its condition, its style, its cut, and your lifestyle (e. g., how much time you plan on spending on your hair each day), she will then make some recommendations for color and maybe even a more suitable style for you. Plan on being there for a few hours.
The second stop on the internet is an Expert's page....most likely to be on lifestyle web sites which tell the ground rules of which skin types goes with which hair color etc. Don't bother to read too many of these as each one of them is likely to have their own version of hair color palette! Once you have short_listed a range of hair color options, try looking for pictures of people with similar coloring and how they would look in it. Many salons have sophisticated software which helps conjure up an image of you with the hair color and it might be worth the money you spend on it.