I was taught to sew the inside of curves first. The bias will allow the outside to then lay flat. If you do the outside first, there is a chance you will have excess to deal with on the inside curve.
For curves that weave back and forth, I usually go from side to side with all the inside curves first, then come back and do all the outside curves. You can also do inside curve, outside curve, then move on to the next section. Use lots of pins.