Yes, you can have healthy blonde curls, but it's more work.
If it's at all possible, avoid bleach altogether. Bleach can really wreak havoc on hair. If you must use bleach, coat your hair in coconut oil beforehand, and let it sit on your hair for 30 minutes or so before bleaching. Don't rinse it out, bleach on top of it. It's also a good idea to add some oils to the bleach mixture. The oil really helps protect your hair, without interfering with the bleach.
If you're not using bleach, just regular color, don't use box color. Box color is a one-size-fits-all thing, and hair just isn't. We all have different hair properties and oftentimes box color will damage more than it should. Go to Sally's, or any beauty supply, and buy you're color there. Depending on how light you're going you may only need a 10 vol developer. It depends on your hair. Again, if you want some extra protection, layer on the oil, just not as heavily as you would if you were bleaching.
How's My Hair?
Review: L'Oreal Evercreme Cleansing Conditioner
Review: Yes To Carrots Nourishing Shampoo & Pampering Conditioner + 35% off at YTC.com
3a-b, fine & medium texture, medium-high porosity from years of damaging. I'm addicted to changing my hair color.
Cleansing: No-Poo, Elucence MBS, YTC Poo,
Conditioner: One Condition, JC Too Shea!, YTC Condish, Elucence MBC, Joico Daily, KCKT
Styling: KCCC, LALPS, BRHG, Biotera Gel