Highlights can look great on curls, but they are something to be very careful with. I know people have them successfully and I have myself in the past, but I have also had highlights that trashed my hair and wrecked the curl and condition, a year later I'm nowhere near growing it out/recovering. If you're not that unhappy with your colour/hair, I would probably not risk it, maybe look for other ways to change things up. But, many people on here with gorgeous hair have highlights, so maybe they'll advise too.

But, if you do have them, be extra careful. Fine hair is much more likely to be damaged severely, so is curly hair, so with fine and curly we are at higher risk. Ask to have not so much hair highlighted, and to have the colour left on for less time than normal (unless you're low porosity). Don't go too light, be very clear about staying within two shades of your natural colour. I don't want to be too doom and gloom because I had one bad experience, and loads of people do it without major issues, but I also would feel bad if I didn't warn you that things can go very wrong. Even in the best case analysis you will trade a bit of condition for colour, sometimes it is worth it, sometimes it isn't.
UK based wavy

Mostly waves, but curls and straight bits too!
Fine to medium, high porosity, medium density, very low elasticity
Highlights damage (growing it out), seems to like protein and need lots of moisture.

Cleanse - CJDF, trying out low poos ; Co wash- Uk chemist brands, Urtekram Rose or Aloe, Hairveda Amala Cream Rinse; RO - varies, Tigi Moisture Maniac, Desert Essence Coconut ; Leave in - Keracare natural textures; Sealant - argan oil
Trying out new things, still looking.