I would recommend setting up a consultation appointment with hairstylists if you don't have a regular stylist.  You don't state what you want to have done; so, it's hard to answer your question.  But, interview the stylist about your concerns and what that person can do to accomplish your needs.

Long Answer: 

I called up a good friend of mine, hairstylist Stephanie Pohl and she says that searching for a hairstylist with a "specialty" is just a con to getting more clients. 

"Anybody who is a professional hairstylist should be able to handle curly hair, because they should be able to handle all types of hair texture. Finding a good hairstylist is finding a good hairstylist no matter the texture." 

Conclusion: Curly-haired girls, just like any other girl, need to do their research and find a good stylist. If they are a good stylist, they'd know what to do. 

Yes, a good hairstylist should be able to deal with curly hair but honestly, I'd look for someone that works with curly hair more or even better: a stylist who has fabulous curls themselves. While at cosmetology school, I had a much easier time working with curly or wavy hair than some other people because I myself have curly/ wavy hair. You just get a much better experience and overall result when working with someone that is very familiar with the particular look wou are going for. I say shop around; get reccomendations from people who hair hair you love and have a consultation with a stylist rather than just jumping in.