If you are shipping your watch to a repair person be sure to contact them personally first and ask questions about the service. Ensure that they will return the watch using insured, traceable packaging and that there is some insurance on your watch while it is in their possession.
If you take your watch into a jewelers you will likely end up having the watch sent out to a watch repair professional. You may be able to get your watch repaired faster this way, especially if the jeweler is a high volume customer for the repair professional. The price may also be more reasonable.