Hi Rachel5150 – Congrats on the new growth! I'm glad you're being patient and kind to your hair. Since your hair is color-treated and heat-damaged, I'd recommend a protein treatment followed by a moisturizing deep treatment. An inexpensive protein treatment that is well-loved on the boards is a gelatin PT using – yep! – unflavored gelatin! Do a search for more info. And always ALWAYS follow a protein treatment with moisture.
Once your hair is healthier, you'll want to determine your hair properties (porosity, texture, etc) since that is a better predictor of how your hair will respond to products than curl pattern. This site is helpful: Live Curly Live Free - Curly Hair Basics
Your new growth will likely have different properties than your damaged ends.
Keep us posted on your progress and let us know if you have any questions!