I am kind of in the same situation. i wear my hair up a lot lately because i am trying to grow it out to a certain length before i feel comfortable wearing it down. Anyways, when i do put it down i noticed that some of it is straight and some wavy/curly. It is very frustrating! I dont know how thick your hair is, but if it is very thick, i would not recommend getting a perm.. i think that will make your hair drier..hmm im not sure what you should do.
I love curly hair because it is unique.. anyways, maybe you just need to find some new styles that will work with your hair to make it more even. Good luck!