How do I throw away eggs in Pokemon GO?

 This is not possible currently unfortunately. My advice is to incubate eggs in this order:

1. Incubate any 10km eggs you have ASAP since these can hatch highly desirable Pokemon like Snorlax and extremely rare Pokemon like Chansey.
2. Incubate any 2km eggs so you can make room in your inventory for more 10km eggs
3. Incubate any 5km eggs as a last resort.

This ordering will help you keep your egg inventory as empty as possible to get as many 10km eggs as possible. Note that this strategy prioritizes hatching 2km eggs over hatching 5km eggs, which is the right approach since you can clean out inventory space much faster, and 5km eggs don’t seem to give very exotic Pokemon anyway.TL;DR Incubate your 2km eggs before your 5km eggs to free up inventory space.If you’re willing to spend money on the game you can also buy additional egg incubators, but I don’t think those are of a high-return investment as buying Lucky Eggs or Lures. The egg incubators seem to be of limited value since you can only use them 3 times.