I would say if your hair is fine and in between curly and wavy, then you may not need a traditional relaxer at all.
I would give Phyto's Straightening Balm a try and then use a heat protectant before blowing it out. Phyto is great for protecting hair and it also contains a lot of natural ingredients, if that is important to you.
Pricier than drugstore, but worth it in my opinion.
Check out my other hair care reviews:
http://www.palacinka.com
We help take the guesswork out of buying your next beauty product (tm)