If you can manage it, one of the best tactics to get away clean when stealing an egg is to have a spare bird or two with you and put them on aggressive. They won't survive, but they can distract the horde of angry wyverns out for your blood long enough for you to get some distance between yourself and them.
I got a level 150 lightning egg and I was so excited to hatch the egg...that when I went to put the egg down I accidentally ate it instead. :( ps4 users: R2 ISN'T GONNA DROP THE EGG YOU'RE GONNA EAT IT LIKE ANY OTHER EGG. REMEMBER THIS. LOGIC BEFORE EXCITMENT.