The best way to kill fear is to face the brute and take the bull by its horn.
I used to be scared of cockroaches and run/dance around the room when chased by them. Unlike in Sharjah, these pests are huge in size in Chennai. Many a times I had jumped to evade, but actually landed on them. It was later that I learnt the art of chasing them with a broom. Wow, what fun, you should see them running from me now.