The given conversion involves chlorination of a benzene ring. The most appropriate reagent for this reaction is SOCl$_2$ (thionyl chloride). This reagent is commonly used in the chlorination of aromatic compounds, converting the hydrogen atom attached to the benzene ring into a chlorine atom.
- SO$_2$Cl$_2$ (sulfuryl chloride) is not typically used for this type of reaction.
- N-Chlorosuccinimide is used for selective chlorination in certain conditions, but it is not the best choice here.
- Cl$_2$/FeCl$_3$ is used for electrophilic chlorination in the presence of a catalyst, but in this case, SOCl$_2$ is the most effective reagent.
Thus, the correct answer is SOCl$_2$.