If you are using the bias for your binding there should be no problem at all.
I will add a piece of bias at each corner so the binding will go around the curve smoothly and the rest of the binding is lengthwise grain. Hope this helps for some of your curves ahead!
There was another tip from a member who I'm sorry to say, I can't remember who, said not to iron a fold in the binding before you sew it onto the quilt. When you bring the binding to the back you get a very smooth edge and don't fight with a crease in the binding. I tried it and WOW. What a difference in my binding. This is not related to the question at hand but just in addition to using bias for curves.
peace